* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 172 additional inputs, on iter 1 have 84 / 256 * * * * [misc]points: Computing exacts on every 10 of 172 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 5 of 172 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 172 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 172 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 100 additional inputs, on iter 2 have 156 / 256 * * * * [misc]points: Computing exacts on every 6 of 100 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 100 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 100 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 55 additional inputs, on iter 3 have 201 / 256 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 55 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 31 additional inputs, on iter 4 have 225 / 256 * * * * [misc]points: Computing exacts for 31 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 25 additional inputs, on iter 5 have 231 / 256 * * * * [misc]points: Computing exacts for 25 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 6 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 7 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 8 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 9 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 10 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (+ a 3) (* b b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (pow b 2) a)) (* 3 (pow (* b 1) 2))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ -1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a)))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (- 1 a) (* a a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (+ (* 0 0) (* 0 0)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (pow a 3)) (* 1 (pow a 2))) into (- (pow a 2) (pow a 3)) * [misc]approximate: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (/ 1 a)) 2)) (* -1 (pow (/ 1 (/ 1 a)) 3))) into (- (pow a 2) (pow a 3)) * [misc]approximate: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (/ 1 (- a))) 2)) (* 1 (pow (/ 1 (/ 1 (- a))) 3))) into (- (pow a 2) (pow a 3)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (- 1 (pow b 4))) into (- (pow b 4) 1) * [misc]backup-simplify: Simplify (+ (* 12 (pow b 2)) (- (pow b 4) 1)) into (- (+ (pow b 4) (* 12 (pow b 2))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (* 12 (pow b 2))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow b 2)) 0) into (* 4 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (- (- (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 4 (* 2 (pow b 2))) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* b 1) 2)) (+ (* 4 (pow (* 1 a) 2)) -1)) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) 0) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* (/ 1 (pow b 2)) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) 0) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a 3) (* b b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (pow (* (* b b) (+ 3 a)) 1) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 2 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ a 3)) (log (* b b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (log (+ 3 a)) (log (* b b))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (exp (+ (log (+ 3 a)) (log (* b b)))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 4 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ a 3) (+ a 3)) (+ a 3)) (* (* (* b b) (* b b)) (* b b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (cbrt (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3)))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 7 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ a 3)) (cbrt (+ a 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (* (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) (* (cbrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 13 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (* (sqrt (+ 3 a)) (* (sqrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 14 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow a 3) (pow 3 3)) (* b b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 27 (pow a 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (/ (* (* b b) (+ 27 (pow a 3))) (+ (* a a) (- (* 3 3) (* a 3)))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 16 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* a a) (* 3 3)) (* b b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a a) -9)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (/ (* (* b b) (+ (* a a) -9)) (- a 3)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 17 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (pow (+ (* a a) (* b b)) (+ 1 1))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (pow (+ (* a a) (* b b)) 2)))) * * * * [misc]progress: [ 19 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)))) * * * * [misc]progress: [ 20 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (pow (+ (* a a) (* b b)) (+ 1 1))))) * * * * [misc]progress: [ 22 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (exp (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))))))) * * * * [misc]progress: [ 24 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (cbrt (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3))))) * * * * [misc]progress: [ 27 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (pow (* a a) 3) (pow (* b b) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b))) (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (pow (* a a) 3) (pow (* b b) 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))))))) * * * * [misc]progress: [ 31 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))))))) * * * * [misc]progress: [ 32 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (+ (pow a 4) (pow b 4)) (* (* a b) (* a b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (+ (pow a 4) (pow b 4)) (* (* a b) (* a b)))))))) * * * * [misc]progress: [ 33 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (- (* a a) (* b b)) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * * * * [misc]progress: [ 34 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (* b b)) (* b b)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (* (+ (* a a) (* b b)) (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 36 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* b b) (* a a))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 37 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (* (+ (* a a) (* b b)) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) (cbrt (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 38 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 39 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (* (+ (* a a) (* b b)) 1) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 40 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 41 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 42 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a a) (* b b)) (+ (pow (* a a) 3) (pow (* b b) 3))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))))))) * * * * [misc]progress: [ 44 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a a) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ a b) (- a b)))))) * * * * [misc]progress: [ 45 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 46 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a a) (* b b)) (- (pow a 4) (pow b 4))) (- (* a a) (* b b)))))) * * * * [misc]progress: [ 47 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 a) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* a a) (- 1 a)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (pow (* (* a a) (- 1 a)) 1)) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 49 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- 1 a)) (log (* a a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (+ (log (- 1 a)) (log (* a a))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (exp (+ (log (- 1 a)) (log (* a a))))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 51 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (* (* a a) (* a a)) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (- 1 a) 3)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (cbrt (* (pow (* a a) 3) (pow (- 1 a) 3)))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 54 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 a)) (cbrt (- 1 a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 a)) (cbrt (- 1 a))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (* (cbrt (- 1 a)) (cbrt (- 1 a))) (* (cbrt (- 1 a)) (* a a)))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 60 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 a)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (sqrt (- 1 a)) (* (sqrt (- 1 a)) (* a a)))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 61 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow 1 3) (pow a 3)) (* a a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (- a (pow a 4)) a) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (/ (* (- a (pow a 4)) a) (+ (* 1 1) (+ (* a a) (* 1 a))))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 63 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 1) (* a a)) (* a a)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 4)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (/ (- (* a a) (pow a 4)) (+ 1 a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 64 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (exp (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * [exit]simplify: Simplified to (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))))) * * * * [misc]progress: [ 66 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 4) (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (- 1 (pow a 3)) (* a a))))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (pow (+ (* a a) (* b b)) 3) (pow (+ (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 4) (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (- 1 (pow a 3)) (* a a))))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (pow (+ (* a a) (* b b)) 3) (pow (+ (* a a) (* b b)) 3))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (* (+ (pow (+ (* b b) (* a a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 4) (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (- 1 (pow a 3)) (* a a))))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (pow (+ (* a a) (* b b)) 3) (pow (+ (* a a) (* b b)) 3))))) (* (+ (pow (+ (* b b) (* a a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * * * * [misc]progress: [ 73 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (474 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* b b) (* (+ (pow a 3) 27) (+ (* a a) (+ a 1)))) (* (* (* a a) (- 1 (pow a 3))) (+ (* a a) (* 3 (- 3 a))))) (+ 4 (* 4 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* b b) (* (+ (pow a 3) 27) (+ (* a a) (+ a 1)))) (* (* (* a a) (- 1 (pow a 3))) (+ (* a a) (* 3 (- 3 a))))) (+ 4 (* 4 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* b b) (* (+ (pow a 3) 27) (+ (* a a) (+ a 1)))) (* (* (* a a) (- 1 (pow a 3))) (+ (* a a) (* 3 (- 3 a))))) (+ 4 (* 4 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 74 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (495 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* 4 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (pow (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* 4 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (pow (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 3)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (pow (+ (* b b) (* a a)) 4) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* 4 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (pow (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 3)))) (+ (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (pow (+ (* b b) (* a a)) 4) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 75 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) 4)))) (* (- 1 (pow (+ (* b b) (* a a)) 4)) (* (+ a 1) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) 4)))) (* (- 1 (pow (+ (* b b) (* a a)) 4)) (* (+ a 1) (- 9 (* a (- 3 a)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) 4)))) (* (- 1 (pow (+ (* b b) (* a a)) 4)) (* (+ a 1) (- 9 (* a (- 3 a)))))) (* (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 76 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ (* a a) -9) (* (+ (+ 1 a) (* a a)) (* b b)))) 4)) (* (- 1 (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ (* a a) -9) (* (+ (+ 1 a) (* a a)) (* b b)))) 4)) (* (- 1 (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (* (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ (* a a) -9) (* (+ (+ 1 a) (* a a)) (* b b)))) 4)) (* (- 1 (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) (+ (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (* (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1))))) * * * * [misc]progress: [ 77 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ a -3) (* a a)) (- 1 (pow a 3))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (* a a) 9))) (+ 4 (* (* 4 (+ (* a a) (* b b))) (+ (* a a) (* b b))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (+ (* a a) (+ a 1)) (+ a -3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ a -3) (* a a)) (- 1 (pow a 3))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (* a a) 9))) (+ 4 (* (* 4 (+ (* a a) (* b b))) (+ (* a a) (* b b))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (+ (* a a) (+ a 1)) (+ a -3)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ -3 a) (+ (* a a) (+ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (+ a -3) (* a a)) (- 1 (pow a 3))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (* a a) 9))) (+ 4 (* (* 4 (+ (* a a) (* b b))) (+ (* a a) (* b b))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (+ (* a a) (+ a 1)) (+ a -3)))) (+ (* (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ -3 a) (+ (* a a) (+ 1 a)))))) * * * * [misc]progress: [ 78 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (* (- a 3) (+ 1 a)) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (pow (+ (* b b) (* a a)) 4) 1) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (* (+ -3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) 4)) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (* (+ -3 a) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (pow (+ (* b b) (* a a)) 4) 1) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (* (+ -3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) 4)) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (* (+ -3 a) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 a) (+ -3 a)) (* (* (* (+ 1 a) (+ -3 a)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (+ (pow (+ (* b b) (* a a)) 4) 1) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (* (+ -3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) 4)) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (* (+ -3 a) (+ a 1)))) (+ (* (+ 1 a) (+ -3 a)) (* (* (* (+ 1 a) (+ -3 a)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))))) * * * * [misc]progress: [ 79 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (- a 3) (+ 1 a)) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- a 3) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (* (+ 1 a) (+ a -3)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- a 3) (+ a 1)))) (* (* (+ 1 a) (+ a -3)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)))) * * * * [misc]progress: [ 80 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (+ (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (+ (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (+ (pow (+ (* a a) (* b b)) 4) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (+ (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))))) (* (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (+ (pow (+ (* a a) (* b b)) 4) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 81 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* b b) (+ 3 a)) 4)) (* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) 4))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))) (- 1 (pow (+ (* b b) (* a a)) 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* b b) (+ 3 a)) 4)) (* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) 4))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))) (- 1 (pow (+ (* b b) (* a a)) 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* b b) (+ 3 a)) 4)) (* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) 4))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))) (- 1 (pow (+ (* b b) (* a a)) 4)))) (* (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 82 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4)) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (pow (+ (* b b) (* a a)) 4))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4)) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (pow (+ (* b b) (* a a)) 4))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (+ (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4)) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (pow (+ (* b b) (* a a)) 4))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))))) (+ (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 83 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (- 1 (pow (+ (* b b) (* a a)) 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (- 1 (pow (+ (* b b) (* a a)) 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (- 1 (pow (+ (* b b) (* a a)) 4)))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)))) * * * * [misc]progress: [ 84 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 89 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 90 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * * * [misc]progress: [ 91 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 93 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 94 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 95 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * * * * [misc]progress: [ 96 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))))) * * * * [misc]progress: [ 97 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))))) * * * * [misc]progress: [ 98 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 99 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 100 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 101 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (- (* (* 12 b) b) (* (* -4 a) a)) 1) * [misc]simplify: Simplified (2) to (λ (a b) (- (- (* (* 12 b) b) (* (* -4 a) a)) 1)) * * * * [misc]progress: [ 102 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * * [misc]progress: [ 103 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 2 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (+ a 3) (* b b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (pow b 2) a)) (* 3 (pow (* b 1) 2))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ -1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a)))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (- 1 a) (* a a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (+ (* 0 0) (* 0 0)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (pow a 3)) (* 1 (pow a 2))) into (- (pow a 2) (pow a 3)) * [misc]approximate: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (/ 1 a)) 2)) (* -1 (pow (/ 1 (/ 1 a)) 3))) into (- (pow a 2) (pow a 3)) * [misc]approximate: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (/ 1 (- a))) 2)) (* 1 (pow (/ 1 (/ 1 (- a))) 3))) into (- (pow a 2) (pow a 3)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (- 1 (pow b 4))) into (- (pow b 4) 1) * [misc]backup-simplify: Simplify (+ (* 12 (pow b 2)) (- (pow b 4) 1)) into (- (+ (pow b 4) (* 12 (pow b 2))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (* 12 (pow b 2))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow b 2)) 0) into (* 4 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (- (- (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 4 (* 2 (pow b 2))) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* b 1) 2)) (+ (* 4 (pow (* 1 a) 2)) -1)) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) 0) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* (/ 1 (pow b 2)) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) 0) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2 2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (pow (* a b) 2))))))) * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 2 2 2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (exp (* 2 (+ (log a) (log b)))))))))) * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (log (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 2 2 2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (exp (* 2 (+ (log a) (log b)))))))))) * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log b) (log a))) * [misc]simplify: Simplified (2 2 2 2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (exp (* 2 (+ (log b) (log a)))))))))) * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (log (pow b 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log b) (log a)) 2) * [misc]simplify: Simplified (2 2 2 2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (exp (* (+ (log b) (log a)) 2)))))))) * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow a 2) (pow a 2)) (pow a 2)) (* (* (pow b 2) (pow b 2)) (pow b 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (* b b) 3)) * [misc]simplify: Simplified (2 2 2 2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (cbrt (* (pow (* a a) 3) (pow (* b b) 3))))))))) * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b b)) * [misc]simplify: Simplified (2 2 2 2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* (pow a 2) (* (cbrt (pow b 2)) (cbrt (pow b 2)))) (cbrt (* b b))))))))) * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs b) * [misc]simplify: Simplified (2 2 2 2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* (pow a 2) (sqrt (pow b 2))) (fabs b)))))))) * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* b b) * [misc]simplify: Simplified (2 2 2 2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* (pow a 2) 1) (* b b)))))))) * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow a 2)) (cbrt (pow a 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (* a a))) * [misc]simplify: Simplified (2 2 2 2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* (cbrt (* a a)) (cbrt (* a a))) (* (cbrt (pow a 2)) (pow b 2))))))))) * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow a 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs a) * [misc]simplify: Simplified (2 2 2 2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (fabs a) (* (sqrt (pow a 2)) (pow b 2))))))))) * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a 3) (* b b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (pow (* (* b b) (+ 3 a)) 1) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ a 3)) (log (* b b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (log (+ 3 a)) (log (* b b))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (exp (+ (log (+ 3 a)) (log (* b b)))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ a 3) (+ a 3)) (+ a 3)) (* (* (* b b) (* b b)) (* b b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (cbrt (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3)))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ a 3)) (cbrt (+ a 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (* (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) (* (cbrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (* (sqrt (+ 3 a)) (* (sqrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow a 3) (pow 3 3)) (* b b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 27 (pow a 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (/ (* (* b b) (+ 27 (pow a 3))) (+ (* a a) (- (* 3 3) (* a 3)))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* a a) (* 3 3)) (* b b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a a) -9)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (/ (* (* b b) (+ (* a a) -9)) (- a 3)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 a) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* a a) (- 1 a)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (pow (* (* a a) (- 1 a)) 1)) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- 1 a)) (log (* a a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (+ (log (- 1 a)) (log (* a a))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (exp (+ (log (- 1 a)) (log (* a a))))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (* (* a a) (* a a)) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (- 1 a) 3)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (cbrt (* (pow (* a a) 3) (pow (- 1 a) 3)))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 a)) (cbrt (- 1 a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 a)) (cbrt (- 1 a))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (* (cbrt (- 1 a)) (cbrt (- 1 a))) (* (cbrt (- 1 a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 a)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (sqrt (- 1 a)) (* (sqrt (- 1 a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow 1 3) (pow a 3)) (* a a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (- a (pow a 4)) a) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (/ (* (- a (pow a 4)) a) (+ (* 1 1) (+ (* a a) (* 1 a))))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 1) (* a a)) (* a a)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 4)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (/ (- (* a a) (pow a 4)) (+ 1 a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (exp (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (exp (- (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b a) (* b a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (exp (- (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b a) (* b a)))))))) * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 3)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ 27 (pow a 3)) b) (* b (+ (* a a) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (* (- 1 (pow a 3)) (* a a)))) 4) (+ (+ (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) 1) (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4)))))) (* (- 1 (pow (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) 3)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ 27 (pow a 3)) b) (* b (+ (* a a) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (* (- 1 (pow a 3)) (* a a)))) 4) (+ (+ (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) 1) (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4)))))) (* (- 1 (pow (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) 3)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ (- 9 (* a (- 3 a))) (* (+ (* a a) a) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (+ 27 (pow a 3)) b) (* b (+ (* a a) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (* (- 1 (pow a 3)) (* a a)))) 4) (+ (+ (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) 1) (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4)))))) (* (- 1 (pow (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) 3)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))))) (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ (- 9 (* a (- 3 a))) (* (+ (* a a) a) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 65 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* b b) (* (+ 27 (pow a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* a a) (* 3 (- 3 a))) (* (- 1 (pow a 3)) (* a a)))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) 4)) (* (* (+ (* a a) (* 3 (- 3 a))) (+ (+ 1 a) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* b b) (* (+ 27 (pow a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* a a) (* 3 (- 3 a))) (* (- 1 (pow a 3)) (* a a)))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) 4)) (* (* (+ (* a a) (* 3 (- 3 a))) (+ (+ 1 a) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a a) (* 2 b)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* b b) (* (+ 27 (pow a 3)) (+ (+ 1 a) (* a a)))) (* (+ (* a a) (* 3 (- 3 a))) (* (- 1 (pow a 3)) (* a a)))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) 4)) (* (* (+ (* a a) (* 3 (- 3 a))) (+ (+ 1 a) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a a) (* 2 b)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (* (* b b) (+ a 1)) (+ 27 (pow a 3)))) 4) (+ (+ 1 (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4)))))) (* (- 1 (pow (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (* (* b b) (+ a 1)) (+ 27 (pow a 3)))) 4) (+ (+ 1 (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4)))))) (* (- 1 (pow (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (* (* b b) (+ a 1)) (+ 27 (pow a 3)))) 4) (+ (+ 1 (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4)))))) (* (- 1 (pow (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (* 1 1) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) 4) (+ (* (* (- 1 (* a a)) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (* b b) (+ a 1))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) 4) (+ (* (* (- 1 (* a a)) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (* b b) (+ a 1))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) 4) (+ (* (* (- 1 (* a a)) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (* b b) (+ a 1))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a 2) (* a b)) b)) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 68 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))) 4) (+ (+ (+ (pow a 4) (pow b 4)) (+ (* (* a a) (* (* b b) 2)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))) 4) (+ (+ (+ (pow a 4) (pow b 4)) (+ (* (* a a) (* (* b b) 2)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) 3)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ -3 a) (+ (+ 1 a) (* a a))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (* (+ -3 a) (+ (+ 1 a) (* a a))))) (* (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (* (+ -3 a) (+ (+ 1 a) (* a a)))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))) 4) (+ (+ (+ (pow a 4) (pow b 4)) (+ (* (* a a) (* (* b b) 2)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) 3)))) (+ (+ (* (+ -3 a) (+ (+ 1 a) (* a a))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (* (+ -3 a) (+ (+ 1 a) (* a a))))) (* (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (* (+ -3 a) (+ (+ 1 a) (* a a)))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))))))) * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (* (- a 3) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 3)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (- (+ (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (- (* a a) 9))) 4) (* (* (+ (* b (* (* 2 a) (* b a))) (+ (+ (pow b 4) (pow a 4)) 1)) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 a) (* b a))))) (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (- (* a a) 9))) 4))) (* (- 1 (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 a) (* b a)))) 3)) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (- (* a a) 9))) 4) (* (* (+ (* b (* (* 2 a) (* b a))) (+ (+ (pow b 4) (pow a 4)) 1)) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 a) (* b a))))) (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (- (* a a) 9))) 4))) (* (- 1 (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 a) (* b a)))) 3)) (* (- a 3) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ 1 a) (+ -3 a)) (* (* (+ 1 a) (+ -3 a)) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* 2 (* b b)))))) (* (* (* (+ 1 a) (+ -3 a)) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* 2 (* b b))))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* 2 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (* (- a 3) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 3)))) (+ (+ (* (+ 1 a) (+ -3 a)) (* (* (+ 1 a) (+ -3 a)) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* 2 (* b b)))))) (* (* (* (+ 1 a) (+ -3 a)) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* 2 (* b b))))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* 2 (* b b)))))))) * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (* (- a 3) (+ 1 a)) (- (* 1 1) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (395 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* 2 a) (* (* b b) a)) (+ (+ (pow b 4) 1) (pow a 4)))) (* (- 1 (* (+ (* (* 2 a) (* (* b b) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 a) (* (* b b) a)) (+ (pow a 4) (pow b 4))))) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* 2 a) (* (* b b) a)) (+ (+ (pow b 4) 1) (pow a 4)))) (* (- 1 (* (+ (* (* 2 a) (* (* b b) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 a) (* (* b b) a)) (+ (pow a 4) (pow b 4))))) (* (- a 3) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (+ (+ -3 a) (* a (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* 2 a) (* (* b b) a)) (+ (+ (pow b 4) 1) (pow a 4)))) (* (- 1 (* (+ (* (* 2 a) (* (* b b) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 a) (* (* b b) a)) (+ (pow a 4) (pow b 4))))) (* (- a 3) (+ a 1)))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (+ (+ -3 a) (* a (+ -3 a)))))) * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) 1))) (* (+ (pow (* (+ 3 a) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (- 1 (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) 3)) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) 1))) (* (+ (pow (* (+ 3 a) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (- 1 (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) 3)) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (* (- 1 a) (* a a)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))))) (+ (+ (* b (* (* a 2) (* a b))) (+ (+ (pow b 4) (pow a 4)) 1)) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) 1))) (* (+ (pow (* (+ 3 a) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (- 1 (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) 3)) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (* (- 1 a) (* a a)))))) (* (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))))) (+ (+ (* b (* (* a 2) (* a b))) (+ (+ (pow b 4) (pow a 4)) 1)) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* a 2) (* a b))))))))) * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (* 1 1) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (455 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) 2) (* b b))) (+ (* (* 4 (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a)))) (* (* 4 (* (* b b) (+ 3 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))) (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) 2) (* b b))) (+ (* (* 4 (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a)))) (* (* 4 (* (* b b) (+ 3 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))) (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (* (- 1 a) (* a a)))) (+ (* (* 2 b) (* b (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (* 1 1) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (* (- 1 a) (* a a)))) (+ (* (* 2 b) (* b (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))))) * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (pow 1 3) (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (- (+ (* 4 (* (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) (* (* 4 (* (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow a 4) (pow b 4)) 1)) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (- 1 (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (* 4 (* (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) (* (* 4 (* (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow a 4) (pow b 4)) 1)) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (- 1 (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (+ (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (pow 1 3) (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 3)))) (+ (+ (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* 1 1) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a 2) (* a b)) b) (+ (+ (pow b 4) 1) (pow a 4))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* a 2) (* a b)) b) (+ (+ (pow b 4) 1) (pow a 4))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (* (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (* a 2) (* a b)) b) (+ (+ (pow b 4) 1) (pow a 4))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a 2) (* a b)) b)))) (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1)))))) * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 82 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))))) * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* b b) (* a a)))))))) * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* b b) (* a a)))))))) * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* b b) (* a a)))))))) * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) (- 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))))) * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (- (* (* 12 b) b) (* (* -4 a) a)) 1) * [misc]simplify: Simplified (2) to (λ (a b) (- (- (* (* 12 b) b) (* (* -4 a) a)) 1)) * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* (+ a 3) (* b b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (pow b 2) a)) (* 3 (pow (* b 1) 2))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ -1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a)))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* a b) (* a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* a b) (* a b)) in b * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a b) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* a b) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 0 b) (* b 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* b b) (* 0 0))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* b 0) (+ (* 0 b) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (- 1 a) (* a a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (+ (* 0 0) (* 0 0)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (pow a 3)) (* 1 (pow a 2))) into (- (pow a 2) (pow a 3)) * [misc]approximate: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (/ 1 a)) 2)) (* -1 (pow (/ 1 (/ 1 a)) 3))) into (- (pow a 2) (pow a 3)) * [misc]approximate: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (/ 1 (- a))) 2)) (* 1 (pow (/ 1 (/ 1 (- a))) 3))) into (- (pow a 2) (pow a 3)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (* -2 (* (* a b) (* a b))) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* a b) (* a b)) in b * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) in a * [misc]taylor: Taking taylor expansion of (* -2 (* (* a b) (* a b))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* a b) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) in a * [misc]taylor: Taking taylor expansion of (* -2 (* (* a b) (* a b))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* a b) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 12 (pow b 2)) -1) into (- (* 12 (pow b 2)) 1) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow b 4))) into (- (pow b 4)) * [misc]backup-simplify: Simplify (- (- (pow b 4))) into (pow b 4) * [misc]backup-simplify: Simplify (+ (- (* 12 (pow b 2)) 1) (pow b 4)) into (- (+ (pow b 4) (* 12 (pow b 2))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (* 12 (pow b 2))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow b 2)) 0) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 0 b) (* b 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow b 2)) 0) into (* 4 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* b b) (* 0 0))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* -2 (pow b 2)) (+ (* 0 0) (* 0 0))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (pow b 2))) 0) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (- (- (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 4 (* 2 (pow b 2))) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* b 1) 2)) (+ (* 4 (pow (* 1 a) 2)) -1)) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * [misc]approximate: Taking taylor expansion of (- (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 1) (- (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 1) (- (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)))) in b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 1) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4))) in b * [misc]taylor: Taking taylor expansion of (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 1) (- (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 1) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4))) in a * [misc]taylor: Taking taylor expansion of (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 1) (- (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 1) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4))) in a * [misc]taylor: Taking taylor expansion of (* -2 (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -2 (/ 1 (pow b 2))) into (/ -2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -2 (pow b 2)) 0) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) 0) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) 0) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* (/ 1 (pow b 2)) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) -1) into (- (* 12 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow b 4)))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 2))) 1) (/ 1 (pow b 4))) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (- (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 1) (- (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 1) (- (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)))) in b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 1) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4))) in b * [misc]taylor: Taking taylor expansion of (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 1) (- (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 1) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4))) in a * [misc]taylor: Taking taylor expansion of (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 1) (- (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 1) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4))) in a * [misc]taylor: Taking taylor expansion of (* -2 (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -2 (/ 1 (pow b 2))) into (/ -2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -2 (pow b 2)) 0) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) 0) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) 0) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) -1) into (- (* 12 (/ 1 (pow b 2))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow b 4)))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (- (* 12 (/ 1 (pow b 2))) 1) (/ 1 (pow b 4))) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a 3) (* b b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (a b) (- (- (* (+ (pow (* (* b b) (+ 3 a)) 1) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 2 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ a 3)) (log (* b b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (log (+ 3 a)) (log (* b b))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (a b) (- (- (* (+ (exp (+ (log (+ 3 a)) (log (* b b)))) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 4 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ a 3) (+ a 3)) (+ a 3)) (* (* (* b b) (* b b)) (* b b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (a b) (- (- (* (+ (cbrt (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3)))) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 7 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ a 3)) (cbrt (+ a 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (a b) (- (- (* (+ (* (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) (* (cbrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 13 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (a b) (- (- (* (+ (* (sqrt (+ 3 a)) (* (sqrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 14 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow a 3) (pow 3 3)) (* b b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 27 (pow a 3))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (a b) (- (- (* (+ (/ (* (* b b) (+ 27 (pow a 3))) (+ (* a a) (- (* 3 3) (* a 3)))) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 16 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* a a) (* 3 3)) (* b b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a a) -9)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (a b) (- (- (* (+ (/ (* (* b b) (+ (* a a) -9)) (- a 3)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 17 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (pow (* a b) (+ 1 1))) (+ (pow a 4) (pow b 4))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (pow (* a b) 2)) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 19 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a b) (* a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (* a b) (* a b)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (pow (* (* a b) (* a b)) 1)) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 20 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (pow (* a b) (+ 1 1))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 22 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* a b)) (log (* a b))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (log (* a b)) (log (* a b))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (exp (+ (log (* a b)) (log (* a b))))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 24 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* a b) (* a b)) (* a b)) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (pow (* a b) 6) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (cbrt (pow (* a b) 6))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 27 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 a) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* a a) (- 1 a)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (pow (* (* a a) (- 1 a)) 1)) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 35 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- 1 a)) (log (* a a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (+ (log (- 1 a)) (log (* a a))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (exp (+ (log (- 1 a)) (log (* a a))))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 37 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (* (* a a) (* a a)) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (- 1 a) 3)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (cbrt (* (pow (* a a) 3) (pow (- 1 a) 3)))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 40 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 a)) (cbrt (- 1 a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 a)) (cbrt (- 1 a))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (* (cbrt (- 1 a)) (cbrt (- 1 a))) (* (cbrt (- 1 a)) (* a a)))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 46 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 a)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (sqrt (- 1 a)) (* (sqrt (- 1 a)) (* a a)))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 47 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow 1 3) (pow a 3)) (* a a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (- a (pow a 4)) a) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (/ (* (- a (pow a 4)) a) (+ (* 1 1) (+ (* a a) (* 1 a))))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 49 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 1) (* a a)) (* a a)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 4)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (/ (- (* a a) (pow a 4)) (+ 1 a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 50 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1)) (/ (exp (* -2 (* (* a b) (* a b)))) (* (exp (pow a 4)) (exp (pow b 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (* (/ (pow (exp 4) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (pow (exp -2) (* (* b a) (* b a))) E)) (exp (+ (pow a 4) (pow b 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (* (/ (pow (exp 4) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (pow (exp -2) (* (* b a) (* b a))) E)) (exp (+ (pow a 4) (pow b 4)))))) * * * * [misc]progress: [ 52 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1)) (/ (exp (* -2 (* (* a b) (* a b)))) (exp (+ (pow a 4) (pow b 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (/ (pow (exp 4) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (/ (* (pow (exp -2) (* (* b a) (* b a))) E) (exp (+ (pow a 4) (pow b 4))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (/ (pow (exp 4) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (/ (* (pow (exp -2) (* (* b a) (* b a))) E) (exp (+ (pow a 4) (pow b 4))))))) * * * * [misc]progress: [ 53 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1)) (exp (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- (* -2 (* (* b a) (* b a))) (- (+ (pow b 4) (pow a 4)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- (* -2 (* (* b a) (* b a))) (- (+ (pow b 4) (pow a 4)) 1)))))) * * * * [misc]progress: [ 54 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow 1 3)) (+ (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* 1 1) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1))) (- (pow (* -2 (* (* a b) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (- (* (- (* (pow (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 3) 64) 1) (+ (* (* (* -2 (* b a)) (* b a)) (+ (+ (pow b 4) (pow a 4)) (* (* -2 (* b a)) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (+ (pow b 4) (pow a 4))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (* -8 (* (* b a) (* b a))) (* (* (* b a) (* b a)) (* (* b a) (* b a))))) (+ (+ (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) 1) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (- (* (pow (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 3) 64) 1) (+ (* (* (* -2 (* b a)) (* b a)) (+ (+ (pow b 4) (pow a 4)) (* (* -2 (* b a)) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (+ (pow b 4) (pow a 4))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (* -8 (* (* b a) (* b a))) (* (* (* b a) (* b a)) (* (* b a) (* b a))))) (+ (+ (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) 1) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))) (* (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* 1 1) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1))) (+ (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* 1 1) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1))) (+ (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* -2 (* b a)) (* b a)) (+ (* (* -2 (* b a)) (* b a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* 16 (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (+ 1 (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow 1 3)) (+ (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* 1 1) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1))) (- (pow (* -2 (* (* a b) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (* (* -2 (* b a)) (* b a)) (+ (* (* -2 (* b a)) (* b a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* 16 (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (+ 1 (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4)))))) * * * * [misc]progress: [ 61 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow 1 3)) (+ (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* 1 1) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1))) (- (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (pow a 4) (pow b 4)) (* (* -2 (* b a)) (* b a))) (- (* (pow (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 3) 64) 1)) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* 16 (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (+ (* 4 (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) 1)) (- (* (* (* -2 (* b a)) (* b a)) (* (* -2 (* b a)) (* b a))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* -2 (* b a)) (* b a))) (- (* (pow (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 3) 64) 1)) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* 16 (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (+ (* 4 (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) 1)) (- (* (* (* -2 (* b a)) (* b a)) (* (* -2 (* b a)) (* b a))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* 1 1) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1))) (+ (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * [enter]simplify: Simplifying (* (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* 1 1) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1))) (+ (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (* (* (* b a) (* b a)) -2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)) (* (+ (* (* (* b a) (* b a)) -2) (+ (pow b 4) (pow a 4))) (+ 1 (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* -2 (* b a)) (* b a))) (- (* (pow (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 3) 64) 1)) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* 16 (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (+ (* 4 (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) 1)) (- (* (* (* -2 (* b a)) (* b a)) (* (* -2 (* b a)) (* b a))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (* (* (* b a) (* b a)) -2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)) (* (+ (* (* (* b a) (* b a)) -2) (+ (pow b 4) (pow a 4))) (+ 1 (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * * * * [misc]progress: [ 62 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (* 1 1)) (+ (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (pow (* -2 (* (* a b) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (- (* (- (* 16 (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) 1) (+ (* (* (* b a) (* -2 (* b a))) (+ (+ (pow b 4) (pow a 4)) (* (* b a) (* -2 (* b a))))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) 1) (+ (* (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)))) (* (* -8 (* (* b a) (* b a))) (* (* (* b a) (* b a)) (* (* b a) (* b a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (- (* 16 (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) 1) (+ (* (* (* b a) (* -2 (* b a))) (+ (+ (pow b 4) (pow a 4)) (* (* b a) (* -2 (* b a))))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) 1) (+ (* (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)))) (* (* -8 (* (* b a) (* b a))) (* (* (* b a) (* b a)) (* (* b a) (* b a))))))) (* (+ (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (+ (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))))) * [enter]simplify: Simplifying (* (+ (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (+ (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4) 1) (+ (* (* -2 (* (* b a) (* b a))) (+ (* -2 (* (* b a) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (- (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (* 1 1)) (+ (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (pow (* -2 (* (* a b) (* a b))) 3) (pow (+ (pow a 4) (pow b 4)) 3)))) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4) 1) (+ (* (* -2 (* (* b a) (* b a))) (+ (* -2 (* (* b a) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * * * * [misc]progress: [ 63 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (* 1 1)) (+ (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* (* -2 (* (* a b) (* a b))) (* -2 (* (* a b) (* a b)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (pow b 4)) (* (* -2 (* b a)) (* b a))) (- (- (* (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 16) (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) 1) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4) 1) (- (* (* -2 (* b a)) (* b a)) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (+ (+ (pow a 4) (pow b 4)) (* (* -2 (* b a)) (* b a))) (- (- (* (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 16) (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) 1) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4) 1) (- (* (* -2 (* b a)) (* b a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (+ (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * [enter]simplify: Simplifying (* (+ (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (+ (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (* b a) -2) (* b a)) (+ (pow b 4) (pow a 4))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (* (* (* b a) -2) (* b a)) (+ (pow b 4) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (+ (+ (pow a 4) (pow b 4)) (* (* -2 (* b a)) (* b a))) (- (- (* (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 16) (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) 1) (* (+ (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4) 1) (- (* (* -2 (* b a)) (* b a)) (+ (pow a 4) (pow b 4)))))) (+ (+ (* (* (* b a) -2) (* b a)) (+ (pow b 4) (pow a 4))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (* (* (* b a) -2) (* b a)) (+ (pow b 4) (pow a 4))))))) * * * * [misc]progress: [ 64 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1)) (sqrt (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (+ (sqrt (- (* -2 (* (* b a) (* b a))) (+ (pow b 4) (pow a 4)))) (sqrt (- (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4) 1))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (sqrt (- (* -2 (* (* b a) (* b a))) (+ (pow b 4) (pow a 4)))) (sqrt (- (* (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4) 1))) (- (sqrt (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1)) (sqrt (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))))) * [enter]simplify: Simplifying (- (sqrt (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1)) (sqrt (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (- (sqrt (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) 1)) (sqrt (- (* -2 (* (* b a) (* b a))) (+ (pow b 4) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (+ (sqrt (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1)) (sqrt (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (- (sqrt (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) 1)) (sqrt (- (* -2 (* (* b a) (* b a))) (+ (pow b 4) (pow a 4))))))) * * * * [misc]progress: [ 69 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- (* (* b a) (* (* b a) -2)) (- (+ (pow b 4) (pow a 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- (* (* b a) (* (* b a) -2)) (- (+ (pow b 4) (pow a 4)) 1))))) * * * * [misc]progress: [ 70 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow a 4) (pow b 4))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (- (pow a 4)) (pow b 4)) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (* -2 (* (* a b) (* a b)))) (- (- (pow a 4)) (pow b 4)))) * * * * [misc]progress: [ 71 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow a 4) (pow b 4))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (- (pow a 4)) (pow b 4)) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (* -2 (* (* a b) (* a b)))) (- (- (pow a 4)) (pow b 4)))) * * * * [misc]progress: [ 72 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4) * [misc]simplify: Simplified (2 1) to (λ (a b) (+ (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4) (- (- 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * * * * [misc]progress: [ 73 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4) * [misc]simplify: Simplified (2 1) to (λ (a b) (+ (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4) (- (- 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * * * * [misc]progress: [ 74 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4) (+ 1 (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * * * * [misc]progress: [ 75 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 4) (pow b 4)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ (pow a 4) (pow b 4)) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (* -2 (* (* a b) (* a b)))) (+ (pow a 4) (pow b 4)))) * * * * [misc]progress: [ 76 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 78 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 79 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 80 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 0) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 81 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 82 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 83 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 84 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 85 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 2) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* a a) (pow a 3)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (- (* a a) (pow a 3))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 86 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (- (* (* 12 b) b) (* (* -4 a) a)) 1) * [misc]simplify: Simplified (2) to (λ (a b) (- (- (* (* 12 b) b) (* (* -4 a) a)) 1)) * * * * [misc]progress: [ 87 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * * [misc]progress: [ 88 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a))))) in b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (* a a) (- a 3)) (- 1 (pow a 3))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (- a 3)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow a 3)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow b 4)) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (+ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ a 1) (* a a)) (- a 3)) in b * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow b 4) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* a 2) (* (* a b) b)) in b * [misc]taylor: Taking taylor expansion of (* a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* a b) b) in b * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- a 3) (+ (+ 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (- a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ a -3) into (- a 3) * [misc]backup-simplify: Simplify (* (pow a 2) (- a 3)) into (* (pow a 2) (- a 3)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (- (pow a 3)) into (- (pow a 3)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 3))) into (- 1 (pow a 3)) * [misc]backup-simplify: Simplify (* (* (pow a 2) (- a 3)) (- 1 (pow a 3))) into (* (pow a 2) (* (- a 3) (- 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ (pow a 2) -9) into (- (pow a 2) 9) * [misc]backup-simplify: Simplify (+ a 1) into (+ a 1) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ (+ a 1) (pow a 2)) into (+ a (+ (pow a 2) 1)) * [misc]backup-simplify: Simplify (* (- (pow a 2) 9) (+ a (+ (pow a 2) 1))) into (* (+ a (+ (pow a 2) 1)) (- (pow a 2) 9)) * [misc]backup-simplify: Simplify (* 0 (* (+ a (+ (pow a 2) 1)) (- (pow a 2) 9))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) (* (- a 3) (- 1 (pow a 3)))) 0) into (- (+ (pow a 3) (* 3 (pow a 5))) (+ (* 3 (pow a 2)) (pow a 6))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 1 (pow a 4)) into (+ (pow a 4) 1) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]backup-simplify: Simplify (+ (+ (pow a 4) 1) 0) into (+ (pow a 4) 1) * [misc]backup-simplify: Simplify (* (+ (pow a 4) 1) 4) into (* 4 (+ (pow a 4) 1)) * [misc]backup-simplify: Simplify (* (- (+ (pow a 3) (* 3 (pow a 5))) (+ (* 3 (pow a 2)) (pow a 6))) (* 4 (+ (pow a 4) 1))) into (* 4 (* (+ (pow a 4) 1) (- (+ (* 3 (pow a 5)) (pow a 3)) (+ (pow a 6) (* 3 (pow a 2)))))) * [misc]backup-simplify: Simplify (+ a 1) into (+ a 1) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ (+ a 1) (pow a 2)) into (+ a (+ (pow a 2) 1)) * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ a -3) into (- a 3) * [misc]backup-simplify: Simplify (* (+ a (+ (pow a 2) 1)) (- a 3)) into (* (+ a (+ (pow a 2) 1)) (- a 3)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 4)) into (pow a 8) * [misc]backup-simplify: Simplify (- (pow a 8)) into (- (pow a 8)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 8))) into (- 1 (pow a 8)) * [misc]backup-simplify: Simplify (* (* (+ a (+ (pow a 2) 1)) (- a 3)) (- 1 (pow a 8))) into (* (+ a (+ (pow a 2) 1)) (* (- a 3) (- 1 (pow a 8)))) * [misc]backup-simplify: Simplify (- (* (+ a (+ (pow a 2) 1)) (* (- a 3) (- 1 (pow a 8))))) into (- (+ (* 2 (pow a 2)) (+ (* 2 a) (+ (pow a 11) 3))) (+ (* 3 (pow a 8)) (+ (* 2 (pow a 9)) (+ (* 2 (pow a 10)) (pow a 3))))) * [misc]backup-simplify: Simplify (+ (* 4 (* (+ (pow a 4) 1) (- (+ (* 3 (pow a 5)) (pow a 3)) (+ (pow a 6) (* 3 (pow a 2)))))) (- (+ (* 2 (pow a 2)) (+ (* 2 a) (+ (pow a 11) 3))) (+ (* 3 (pow a 8)) (+ (* 2 (pow a 9)) (+ (* 2 (pow a 10)) (pow a 3)))))) into (- (+ (* 12 (pow a 5)) (+ (* 4 (pow a 7)) (+ (* 10 (pow a 9)) (+ (* 2 a) (+ (pow a 11) (+ (* 3 (pow a 3)) 3)))))) (+ (* 16 (pow a 6)) (+ (* 3 (pow a 8)) (+ (* 6 (pow a 10)) (* 10 (pow a 2)))))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 1 (pow a 4)) into (+ (pow a 4) 1) * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 a) 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (pow a 4) 1) 0) into (+ (pow a 4) 1) * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ a -3) into (- a 3) * [misc]backup-simplify: Simplify (+ 1 a) into (+ a 1) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ (+ a 1) (pow a 2)) into (+ a (+ (pow a 2) 1)) * [misc]backup-simplify: Simplify (* (- a 3) (+ a (+ (pow a 2) 1))) into (* (+ a (+ (pow a 2) 1)) (- a 3)) * [misc]backup-simplify: Simplify (* (+ (pow a 4) 1) (* (+ a (+ (pow a 2) 1)) (- a 3))) into (* (+ a (+ (pow a 2) 1)) (* (- a 3) (+ (pow a 4) 1))) * [misc]backup-simplify: Simplify (/ (- (+ (* 12 (pow a 5)) (+ (* 4 (pow a 7)) (+ (* 10 (pow a 9)) (+ (* 2 a) (+ (pow a 11) (+ (* 3 (pow a 3)) 3)))))) (+ (* 16 (pow a 6)) (+ (* 3 (pow a 8)) (+ (* 6 (pow a 10)) (* 10 (pow a 2)))))) (* (+ a (+ (pow a 2) 1)) (* (- a 3) (+ (pow a 4) 1)))) into (/ (- (+ (* 12 (pow a 5)) (+ (* 4 (pow a 7)) (+ (* 10 (pow a 9)) (+ (* 2 a) (+ (pow a 11) (+ (* 3 (pow a 3)) 3)))))) (+ (* 16 (pow a 6)) (+ (* 3 (pow a 8)) (+ (* 6 (pow a 10)) (* 10 (pow a 2)))))) (* (- a 3) (* (+ (pow a 4) 1) (+ a (+ (pow a 2) 1))))) * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a))))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* a a) (- a 3)) (- 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- a 3)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow b 4)) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow b 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ a 1) (* a a)) (- a 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow b 4) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a 2) (* (* a b) b)) in a * [misc]taylor: Taking taylor expansion of (* a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* a b) b) in a * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- a 3) (+ (+ 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 0 -3) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -9 1) into -9 * [misc]backup-simplify: Simplify (* (pow b 2) -9) into (* -9 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* -9 (pow b 2))) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 1 (pow b 4)) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (+ (+ (pow b 4) 1) 0) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (pow b 4) 1) 0) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (* (+ (pow b 4) 1) 4) into (* 4 (+ (pow b 4) 1)) * [misc]backup-simplify: Simplify (* (- (* 9 (pow b 2))) (* 4 (+ (pow b 4) 1))) into (* -36 (* (+ (pow b 4) 1) (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 1 -3) into -3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (- (pow b 8)) into (- (pow b 8)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 8))) into (- 1 (pow b 8)) * [misc]backup-simplify: Simplify (* -3 (- 1 (pow b 8))) into (* -3 (- 1 (pow b 8))) * [misc]backup-simplify: Simplify (- (* -3 (- 1 (pow b 8)))) into (- 3 (* 3 (pow b 8))) * [misc]backup-simplify: Simplify (+ (* -36 (* (+ (pow b 4) 1) (pow b 2))) (- 3 (* 3 (pow b 8)))) into (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 1 (pow b 4)) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (pow b 4) 1) 0) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (* (+ (pow b 4) 1) -3) into (* -3 (+ (pow b 4) 1)) * [misc]backup-simplify: Simplify (/ (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) (* -3 (+ (pow b 4) 1))) into (* -1/3 (/ (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) (+ (pow b 4) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a))))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* a a) (- a 3)) (- 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- a 3)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow b 4)) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow b 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ a 1) (* a a)) (- a 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow b 4) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a 2) (* (* a b) b)) in a * [misc]taylor: Taking taylor expansion of (* a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* a b) b) in a * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- a 3) (+ (+ 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 0 -3) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -9 1) into -9 * [misc]backup-simplify: Simplify (* (pow b 2) -9) into (* -9 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* -9 (pow b 2))) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 1 (pow b 4)) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (+ (+ (pow b 4) 1) 0) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (pow b 4) 1) 0) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (* (+ (pow b 4) 1) 4) into (* 4 (+ (pow b 4) 1)) * [misc]backup-simplify: Simplify (* (- (* 9 (pow b 2))) (* 4 (+ (pow b 4) 1))) into (* -36 (* (+ (pow b 4) 1) (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 1 -3) into -3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (- (pow b 8)) into (- (pow b 8)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 8))) into (- 1 (pow b 8)) * [misc]backup-simplify: Simplify (* -3 (- 1 (pow b 8))) into (* -3 (- 1 (pow b 8))) * [misc]backup-simplify: Simplify (- (* -3 (- 1 (pow b 8)))) into (- 3 (* 3 (pow b 8))) * [misc]backup-simplify: Simplify (+ (* -36 (* (+ (pow b 4) 1) (pow b 2))) (- 3 (* 3 (pow b 8)))) into (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 1 (pow b 4)) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (pow b 4) 1) 0) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -3 1) into -3 * [misc]backup-simplify: Simplify (* (+ (pow b 4) 1) -3) into (* -3 (+ (pow b 4) 1)) * [misc]backup-simplify: Simplify (/ (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) (* -3 (+ (pow b 4) 1))) into (* -1/3 (/ (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) (+ (pow b 4) 1))) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 36 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (pow b 2)) (* 3 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of (* 36 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]backup-simplify: Simplify (* -1/3 3) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (pow b 4) 1) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 1) (* 0 1)) into -9 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) -9) (* 0 -9)) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (pow b 2)))) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 9 (pow b 2))) 0) (* (- (* 9 (pow b 2))) (* 4 (+ (pow b 4) 1)))) into (- (+ (* 36 (pow b 6)) (* 36 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (* 0 (pow b 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 -3)) into -2 * [misc]backup-simplify: Simplify (+ (* -3 0) (* -2 (- 1 (pow b 8)))) into (- (* 2 (pow b 8)) 2) * [misc]backup-simplify: Simplify (- (- (* 2 (pow b 8)) 2)) into (- 2 (* 2 (pow b 8))) * [misc]backup-simplify: Simplify (+ (- (+ (* 36 (pow b 6)) (* 36 (pow b 2)))) (- 2 (* 2 (pow b 8)))) into (- 2 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 2 (pow b 8))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -3 1) (* 1 1)) into -2 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 0 0) (* b b)) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 (pow b 2)) (* 2 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (pow b 4) 1) -2) (* 0 -3)) into (- (+ (* 2 (pow b 4)) 2)) * [misc]backup-simplify: Simplify (- (/ (- 2 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 2 (pow b 8))))) (* -3 (+ (pow b 4) 1))) (+ (* (* -1/3 (/ (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) (+ (pow b 4) 1))) (/ (- (+ (* 2 (pow b 4)) 2)) (* -3 (+ (pow b 4) 1)))))) into (- (+ (* 2/3 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 12 (/ (pow b 6) (+ (pow b 4) 1))) (* 12 (/ (pow b 2) (+ (pow b 4) 1))))))) (+ (* 2/3 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) (+ (* 8 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ 1 (+ (pow b 4) 1))) (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2/3 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 12 (/ (pow b 6) (+ (pow b 4) 1))) (* 12 (/ (pow b 2) (+ (pow b 4) 1))))))) (+ (* 2/3 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) (+ (* 8 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ 1 (+ (pow b 4) 1))) (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2/3 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 12 (/ (pow b 6) (+ (pow b 4) 1))) (* 12 (/ (pow b 2) (+ (pow b 4) 1))))))) in b * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 2/3 in b * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2/3 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 12 (/ (pow b 6) (+ (pow b 4) 1))) (* 12 (/ (pow b 2) (+ (pow b 4) 1)))))) in b * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 2/3 in b * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 4) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 12 (/ (pow b 6) (+ (pow b 4) 1))) (* 12 (/ (pow b 2) (+ (pow b 4) 1))))) in b * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 2/3 in b * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 8) (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (pow b 6) (+ (pow b 4) 1))) (* 12 (/ (pow b 2) (+ (pow b 4) 1)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow b 6) (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow b 2) (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2/3 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) (+ (* 8 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ 1 (+ (pow b 4) 1))) (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2)))))))) in b * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 2/3 in b * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 12) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ 1 (+ (pow b 4) 1))) (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))))))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (pow b 10) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ 1 (+ (pow b 4) 1))) (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2)))))) in b * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2/3 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ 1 (+ (pow b 4) 1))) (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 2/3 in b * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 8) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2/3 (/ 1 (+ (pow b 4) 1))) (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 2/3 in b * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (+ 2/3 0) into 2/3 * [misc]backup-simplify: Simplify (* 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (+ 2/3 0) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify (+ 2/3 -2/3) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 1) (+ (* 0 0) (* 0 0))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (+ (pow b 4) 1) 0) (+ (* 0 0) (* (* 2 (pow b 2)) 4))) into (* 8 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 -3))) into -3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* -3 1))) into -3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -9 1) (+ (* 0 1) (* 1 1))) into -8 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) -8) (+ (* 0 -9) (* 0 -9))) into (- (* 8 (pow b 2))) * [misc]backup-simplify: Simplify (+ -3 (- (* 8 (pow b 2)))) into (- (+ (* 8 (pow b 2)) 3)) * [misc]backup-simplify: Simplify (+ (* (- (* 9 (pow b 2))) (* 8 (pow b 2))) (+ (* (- (* 9 (pow b 2))) 0) (* (- (+ (* 8 (pow b 2)) 3)) (* 4 (+ (pow b 4) 1))))) into (- (+ (* 84 (pow b 4)) (+ (* 32 (pow b 6)) (+ (* 32 (pow b 2)) 12)))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 1) (+ (* 0 0) (* 0 0))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 1) (+ (* 0 0) (* 0 0))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (pow b 4) (* 2 (pow b 2))) (+ (* 0 0) (* (* 2 (pow b 2)) (pow b 4)))) into (* 4 (pow b 6)) * [misc]backup-simplify: Simplify (- (* 4 (pow b 6))) into (- (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (pow b 6)))) into (- (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 1 -3))) into -2 * [misc]backup-simplify: Simplify (+ (* -3 (- (* 4 (pow b 6)))) (+ (* -2 0) (* -2 (- 1 (pow b 8))))) into (- (+ (* 12 (pow b 6)) (* 2 (pow b 8))) 2) * [misc]backup-simplify: Simplify (- (- (+ (* 12 (pow b 6)) (* 2 (pow b 8))) 2)) into (- 2 (+ (* 12 (pow b 6)) (* 2 (pow b 8)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 84 (pow b 4)) (+ (* 32 (pow b 6)) (+ (* 32 (pow b 2)) 12)))) (- 2 (+ (* 12 (pow b 6)) (* 2 (pow b 8))))) into (- (+ (* 84 (pow b 4)) (+ (* 44 (pow b 6)) (+ (* 32 (pow b 2)) (+ (* 2 (pow b 8)) 10))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 1) (+ (* 1 1) (* 0 1))) into -2 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* b 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 (pow b 2)) (* 0 0))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (+ (pow b 4) 1) -2) (+ (* 0 -2) (* (* 2 (pow b 2)) -3))) into (- (+ (* 2 (pow b 4)) (+ (* 6 (pow b 2)) 2))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 84 (pow b 4)) (+ (* 44 (pow b 6)) (+ (* 32 (pow b 2)) (+ (* 2 (pow b 8)) 10))))) (* -3 (+ (pow b 4) 1))) (+ (* (* -1/3 (/ (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) (+ (pow b 4) 1))) (/ (- (+ (* 2 (pow b 4)) (+ (* 6 (pow b 2)) 2))) (* -3 (+ (pow b 4) 1)))) (* (- (+ (* 2/3 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 12 (/ (pow b 6) (+ (pow b 4) 1))) (* 12 (/ (pow b 2) (+ (pow b 4) 1))))))) (+ (* 2/3 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) (+ (* 8 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (+ (* 2/3 (/ 1 (+ (pow b 4) 1))) (* 8 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))))))))) (/ (- (+ (* 2 (pow b 4)) 2)) (* -3 (+ (pow b 4) 1)))))) into (- (+ (* 16/3 (/ (pow b 14) (pow (+ (pow b 4) 1) 3))) (+ (* 16/3 (/ (pow b 2) (pow (+ (pow b 4) 1) 3))) (+ (* 28 (/ (pow b 4) (+ (pow b 4) 1))) (+ (* 10/3 (/ 1 (+ (pow b 4) 1))) (+ (* 16 (/ (pow b 10) (pow (+ (pow b 4) 1) 3))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3)))))))))))))) (+ (* 10/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) (+ (* 18 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 32 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 14 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 3))) (+ (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 16/3 (/ (pow b 14) (pow (+ (pow b 4) 1) 3))) (+ (* 16/3 (/ (pow b 2) (pow (+ (pow b 4) 1) 3))) (+ (* 28 (/ (pow b 4) (+ (pow b 4) 1))) (+ (* 10/3 (/ 1 (+ (pow b 4) 1))) (+ (* 16 (/ (pow b 10) (pow (+ (pow b 4) 1) 3))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3)))))))))))))) (+ (* 10/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) (+ (* 18 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 32 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 14 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 3))) (+ (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))))))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 16/3 (/ (pow b 14) (pow (+ (pow b 4) 1) 3))) (+ (* 16/3 (/ (pow b 2) (pow (+ (pow b 4) 1) 3))) (+ (* 28 (/ (pow b 4) (+ (pow b 4) 1))) (+ (* 10/3 (/ 1 (+ (pow b 4) 1))) (+ (* 16 (/ (pow b 10) (pow (+ (pow b 4) 1) 3))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3)))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 16/3 (/ (pow b 14) (pow (+ (pow b 4) 1) 3))) in b * [misc]taylor: Taking taylor expansion of 16/3 in b * [misc]backup-simplify: Simplify 16/3 into 16/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 14) (pow (+ (pow b 4) 1) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 14) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 16/3 (/ (pow b 2) (pow (+ (pow b 4) 1) 3))) (+ (* 28 (/ (pow b 4) (+ (pow b 4) 1))) (+ (* 10/3 (/ 1 (+ (pow b 4) 1))) (+ (* 16 (/ (pow b 10) (pow (+ (pow b 4) 1) 3))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 16/3 (/ (pow b 2) (pow (+ (pow b 4) 1) 3))) in b * [misc]taylor: Taking taylor expansion of 16/3 in b * [misc]backup-simplify: Simplify 16/3 into 16/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) (pow (+ (pow b 4) 1) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 28 (/ (pow b 4) (+ (pow b 4) 1))) (+ (* 10/3 (/ 1 (+ (pow b 4) 1))) (+ (* 16 (/ (pow b 10) (pow (+ (pow b 4) 1) 3))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3)))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 28 (/ (pow b 4) (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 28 in b * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ (pow b 4) (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 10/3 (/ 1 (+ (pow b 4) 1))) (+ (* 16 (/ (pow b 10) (pow (+ (pow b 4) 1) 3))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 10/3 (/ 1 (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 10/3 in b * [misc]backup-simplify: Simplify 10/3 into 10/3 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow b 10) (pow (+ (pow b 4) 1) 3))) (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3)))))))))) in b * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow b 10) (pow (+ (pow b 4) 1) 3))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow b 10) (pow (+ (pow b 4) 1) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3))))))))) in b * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow b 6) (pow (+ (pow b 4) 1) 3))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (pow (+ (pow b 4) 1) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3)))))))) in b * [misc]taylor: Taking taylor expansion of (* 10/9 (/ 1 (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 10/9 in b * [misc]backup-simplify: Simplify 10/9 into 10/9 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3))))))) in b * [misc]taylor: Taking taylor expansion of (* 8/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 3))) in b * [misc]taylor: Taking taylor expansion of 8/9 in b * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (/ (pow b 12) (pow (+ (pow b 4) 1) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3)))))) in b * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow b 8) (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 2/3 in b * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 8) (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3))))) in b * [misc]taylor: Taking taylor expansion of (* 44/3 (/ (pow b 6) (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 44/3 in b * [misc]backup-simplify: Simplify 44/3 into 44/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3)))) in b * [misc]taylor: Taking taylor expansion of (* 32/3 (/ (pow b 2) (+ (pow b 4) 1))) in b * [misc]taylor: Taking taylor expansion of 32/3 in b * [misc]backup-simplify: Simplify 32/3 into 32/3 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) (+ (pow b 4) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4/9 (/ (pow b 16) (pow (+ (pow b 4) 1) 3))) in b * [misc]taylor: Taking taylor expansion of 4/9 in b * [misc]backup-simplify: Simplify 4/9 into 4/9 * [misc]taylor: Taking taylor expansion of (/ (pow b 16) (pow (+ (pow b 4) 1) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 16) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 10/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) (+ (* 18 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 32 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 14 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 3))) (+ (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2)))))))))) in b * [misc]taylor: Taking taylor expansion of (* 10/9 (/ (pow b 12) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 10/9 in b * [misc]backup-simplify: Simplify 10/9 into 10/9 * [misc]taylor: Taking taylor expansion of (/ (pow b 12) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 18 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) (+ (* 32 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 14 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 3))) (+ (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))))))))) in b * [misc]taylor: Taking taylor expansion of (* 18 (/ (pow b 10) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 18 in b * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ (pow b 10) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) (+ (* 14 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 3))) (+ (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2)))))))) in b * [misc]taylor: Taking taylor expansion of (* 32 (/ (pow b 6) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 32 in b * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 14 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))) (+ (* 8/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 3))) (+ (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))))))) in b * [misc]taylor: Taking taylor expansion of (* 14 (/ (pow b 2) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 14 in b * [misc]backup-simplify: Simplify 14 into 14 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 8/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 3))) (+ (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2)))))) in b * [misc]taylor: Taking taylor expansion of (* 8/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 3))) in b * [misc]taylor: Taking taylor expansion of 8/9 in b * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (/ (pow b 4) (pow (+ (pow b 4) 1) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 4/9 (/ 1 (pow (+ (pow b 4) 1) 3))) in b * [misc]taylor: Taking taylor expansion of 4/9 in b * [misc]backup-simplify: Simplify 4/9 into 4/9 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (pow b 4) 1) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 226/9 (/ (pow b 8) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 226/9 in b * [misc]backup-simplify: Simplify 226/9 into 226/9 * [misc]taylor: Taking taylor expansion of (/ (pow b 8) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 206/9 (/ (pow b 4) (pow (+ (pow b 4) 1) 2))) in b * [misc]taylor: Taking taylor expansion of 206/9 in b * [misc]backup-simplify: Simplify 206/9 into 206/9 * [misc]taylor: Taking taylor expansion of (/ (pow b 4) (pow (+ (pow b 4) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) 1) 2) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) 1) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 10/3 1) into 10/3 * [misc]backup-simplify: Simplify (* 10/9 1) into 10/9 * [misc]backup-simplify: Simplify (+ 10/9 0) into 10/9 * [misc]backup-simplify: Simplify (+ 0 10/9) into 10/9 * [misc]backup-simplify: Simplify (+ 0 10/9) into 10/9 * [misc]backup-simplify: Simplify (+ 10/3 10/9) into 40/9 * [misc]backup-simplify: Simplify (+ 0 40/9) into 40/9 * [misc]backup-simplify: Simplify (+ 0 40/9) into 40/9 * [misc]backup-simplify: Simplify (+ 0 40/9) into 40/9 * [misc]backup-simplify: Simplify (* 4/9 1) into 4/9 * [misc]backup-simplify: Simplify (+ 4/9 0) into 4/9 * [misc]backup-simplify: Simplify (+ 0 4/9) into 4/9 * [misc]backup-simplify: Simplify (+ 0 4/9) into 4/9 * [misc]backup-simplify: Simplify (+ 0 4/9) into 4/9 * [misc]backup-simplify: Simplify (+ 0 4/9) into 4/9 * [misc]backup-simplify: Simplify (+ 0 4/9) into 4/9 * [misc]backup-simplify: Simplify (- 4/9) into -4/9 * [misc]backup-simplify: Simplify (+ 40/9 -4/9) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 36 1) into 36 * [misc]backup-simplify: Simplify (+ 36 0) into 36 * [misc]backup-simplify: Simplify (+ 0 36) into 36 * [misc]backup-simplify: Simplify (- 36) into -36 * [misc]backup-simplify: Simplify (+ 0 -36) into -36 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -36 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into -36 * [misc]backup-simplify: Simplify (+ (* -1/3 -36) (+ (* 0 0) (* 0 3))) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* b 1) 2)) (+ (* 4 (pow (* 1 a) 2)) -1)) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * [misc]approximate: Taking taylor expansion of (/ (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) (* (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) (* (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 1) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (+ (/ 1 a) 1) (/ 1 (pow a 2))) into (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ (/ 1 a) -3) into (- (/ 1 a) 3) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3)) into (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3)) -1) into (* -1 (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3))) * [misc]backup-simplify: Simplify (- (* -1 (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3)))) into (- (/ 1 (pow a 3)) (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 3))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 3)) (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 3)))) into (- (/ 1 (pow a 3)) (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 3))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ (/ 1 a) -3) into (- (/ 1 a) 3) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (+ (/ 1 a) 1) (/ 1 (pow a 2))) into (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) * [misc]backup-simplify: Simplify (* (- (/ 1 a) 3) (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1))) into (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3)) * [misc]backup-simplify: Simplify (* 1 (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3))) into (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow a 3)) (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 3))) (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3))) into (/ (- (/ 1 (pow a 3)) (+ (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 3))) (* (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) (- (/ 1 a) 3))) * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) (* (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) (* (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) 2) (* (* (/ 1 a) (/ 1 b)) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 b)) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) 3) (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 -3) (* 1 1)) into -2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -2 -1)) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -4 -2) into -6 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* 1 1) (* -3 1)) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -2) (* 0 1)) into -2 * [misc]backup-simplify: Simplify (- (/ -6 1) (+ (* 1 (/ -2 1)))) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -3) (* 0 1)) into -3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -3 -1)) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 4)) into 12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow b 2))) 1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (pow b 2)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (pow b 2))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 -3) (* 1 1))) into -2 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 4 (/ 1 (pow b 2))))) (+ (* -2 0) (* -2 -1))) into (- 2 (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- 2 (* 4 (/ 1 (pow b 2))))) into (- (* 4 (/ 1 (pow b 2))) 2) * [misc]backup-simplify: Simplify (+ 12 (- (* 4 (/ 1 (pow b 2))) 2)) into (+ 10 (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -3 1) (* 0 1))) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 -2) (+ (* 0 -2) (* (* 2 (/ 1 (pow b 2))) 1))) into (- (* 2 (/ 1 (pow b 2))) 2) * [misc]backup-simplify: Simplify (- (/ (+ 10 (* 4 (/ 1 (pow b 2)))) 1) (+ (* 1 (/ (- (* 2 (/ 1 (pow b 2))) 2) 1)) (* -4 (/ -2 1)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 2 (/ 1 (pow b 2))) 4))) into (* 8 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -3 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 1) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 (* 8 (/ 1 (pow b 2)))) (+ (* 3 0) (* (/ 1 (pow b 2)) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (* 2 (/ 1 (pow b 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 1 -3) (* 0 1)))) into -3 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -2 (- (* 4 (/ 1 (pow b 2))))) (+ (* -2 0) (* -3 -1)))) into (+ 3 (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ 3 (* 8 (/ 1 (pow b 2))))) into (- (+ 3 (* 8 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) (- (+ 3 (* 8 (/ 1 (pow b 2)))))) into (- (+ 3 (* 12 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -3 1) (+ (* 0 1) (* 0 1)))) into -3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -3) (+ (* 0 -2) (+ (* (* 2 (/ 1 (pow b 2))) -2) (* 0 1)))) into (- (+ 3 (* 4 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (/ (- (+ 3 (* 12 (/ 1 (pow b 2))))) 1) (+ (* 1 (/ (- (+ 3 (* 4 (/ 1 (pow b 2))))) 1)) (* -4 (/ (- (* 2 (/ 1 (pow b 2))) 2) 1)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ -2 1)))) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -3 0) (+ (* 0 0) (* 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 1) (* 0 1)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 (pow b 2))) into (+ 1 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 (* 8 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 2)) 0) (* (+ 1 (/ 1 (pow b 2))) 4)))) into (+ 4 (* 28 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (/ 1 (pow b 4)) 1))))) into (* 6 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (* 6 (/ 1 (pow b 4)))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (/ 1 (pow b 4))))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 1 0) (+ (* 0 -3) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 6 (/ 1 (pow b 4))))) (+ (* -2 0) (+ (* -2 (- (* 4 (/ 1 (pow b 2))))) (+ (* -3 0) (* 0 -1))))) into (- (* 8 (/ 1 (pow b 2))) (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (- (* 8 (/ 1 (pow b 2))) (* 6 (/ 1 (pow b 4))))) into (- (* 6 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (+ 4 (* 28 (/ 1 (pow b 2)))) (- (* 6 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2))))) into (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -3 0) (+ (* 0 1) (+ (* 0 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 (pow b 4))) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow b 4)) 1) 0) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -3) (+ (* (* 2 (/ 1 (pow b 2))) -2) (+ (* 0 -2) (* (+ (/ 1 (pow b 4)) 1) 1))))) into (- (+ (/ 1 (pow b 4)) 1) (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2))))) 1) (+ (* 1 (/ (- (+ (/ 1 (pow b 4)) 1) (* 4 (/ 1 (pow b 2)))) 1)) (* -4 (/ (- (+ 3 (* 4 (/ 1 (pow b 2))))) 1)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ (- (* 2 (/ 1 (pow b 2))) 2) 1)) (* (* 4 (/ 1 (pow b 2))) (/ -2 1)))) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (/ (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) (* (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) (* (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (/ -1 a) 1) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (- 1 (/ 1 a)) (/ 1 (pow a 2))) into (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ (/ -1 a) -3) into (- (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (- (+ (/ 1 a) 3))) into (* -1 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* -1 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3))) -1) into (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (- (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3))) into (- (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 1 (pow a 3)) 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 1 (pow a 3)) 3)))) into (- (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 1 (pow a 3)) 3))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ (/ -1 a) -3) into (- (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (+ 1 (/ -1 a)) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (- 1 (/ 1 a)) (/ 1 (pow a 2))) into (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 a) 3)) (- (+ (/ 1 (pow a 2)) 1) (/ 1 a))) into (* -1 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3))) * [misc]backup-simplify: Simplify (* 1 (* -1 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3)))) into (* -1 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 1 (pow a 3)) 3))) (* -1 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3)))) into (* -1 (/ (- (* 2 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 1 (pow a 3)) 3))) (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (+ (/ 1 a) 3)))) * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) (* (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) (* (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) 2) (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- a)) 3) (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (+ 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* 1 -3) (* -1 -1)) into -2 * [misc]backup-simplify: Simplify (+ (* -1 0) (* -2 -1)) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -4 -2) into -6 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* -3 1)) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -2) (* 0 -1)) into -2 * [misc]backup-simplify: Simplify (- (/ -6 -1) (+ (* 1 (/ -2 -1)))) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -3) (* 0 -1)) into -3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* -3 1)) into -3 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* -3 4)) into -12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow b 2))) 1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (pow b 2)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (pow b 2))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 -3) (* 1 -1))) into 2 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 4 (/ 1 (pow b 2))))) (+ (* -2 0) (* 2 -1))) into (- (* 4 (/ 1 (pow b 2))) 2) * [misc]backup-simplify: Simplify (- (- (* 4 (/ 1 (pow b 2))) 2)) into (- 2 (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ -12 (- 2 (* 4 (/ 1 (pow b 2))))) into (- (+ 10 (* 4 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* -3 -1) (* 0 1))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ -1 b)) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (* -2 (/ -1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 2) (+ (* 0 -2) (* (* 2 (/ 1 (pow b 2))) -1))) into (- 2 (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (- (+ 10 (* 4 (/ 1 (pow b 2))))) -1) (+ (* 1 (/ (- 2 (* 2 (/ 1 (pow b 2)))) -1)) (* 4 (/ -2 -1)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 2 (/ 1 (pow b 2))) 4))) into (* 8 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -3) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 1) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 (* 8 (/ 1 (pow b 2)))) (+ (* -3 0) (* (/ 1 (pow b 2)) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (* 2 (/ 1 (pow b 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 1 -3) (* 0 -1)))) into -3 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -2 (- (* 4 (/ 1 (pow b 2))))) (+ (* 2 0) (* -3 -1)))) into (+ 3 (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ 3 (* 8 (/ 1 (pow b 2))))) into (- (+ 3 (* 8 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) (- (+ 3 (* 8 (/ 1 (pow b 2)))))) into (- (+ 3 (* 12 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 1) (+ (* 0 -1) (* 0 1)))) into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ -1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -3) (+ (* 0 2) (+ (* (* 2 (/ 1 (pow b 2))) -2) (* 0 -1)))) into (- (+ 3 (* 4 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (/ (- (+ 3 (* 12 (/ 1 (pow b 2))))) -1) (+ (* 1 (/ (- (+ 3 (* 4 (/ 1 (pow b 2))))) -1)) (* 4 (/ (- 2 (* 2 (/ 1 (pow b 2)))) -1)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ -2 -1)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* -3 0) (+ (* 0 0) (* 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* 0 1)) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) -1) (* 0 1)) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ -1 (- (/ 1 (pow b 2)))) into (- (+ 1 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 (* 8 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 2)) 0) (* (- (+ 1 (/ 1 (pow b 2)))) 4)))) into (- (+ 4 (* 28 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (/ 1 (pow b 4)) 1))))) into (* 6 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (* 6 (/ 1 (pow b 4)))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (/ 1 (pow b 4))))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 1 0) (+ (* 0 -3) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 6 (/ 1 (pow b 4))))) (+ (* -2 0) (+ (* 2 (- (* 4 (/ 1 (pow b 2))))) (+ (* -3 0) (* 0 -1))))) into (- (* 6 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 6 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2))))) into (- (* 8 (/ 1 (pow b 2))) (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (- (+ 4 (* 28 (/ 1 (pow b 2))))) (- (* 8 (/ 1 (pow b 2))) (* 6 (/ 1 (pow b 4))))) into (- (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 0) (+ (* 0 1) (+ (* 0 -1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 (pow b 4))) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ -1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow b 4)) 1) 0) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -3) (+ (* (* 2 (/ 1 (pow b 2))) 2) (+ (* 0 -2) (* (+ (/ 1 (pow b 4)) 1) -1))))) into (- (* 4 (/ 1 (pow b 2))) (+ (/ 1 (pow b 4)) 1)) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2)))))) -1) (+ (* 1 (/ (- (* 4 (/ 1 (pow b 2))) (+ (/ 1 (pow b 4)) 1)) -1)) (* 4 (/ (- (+ 3 (* 4 (/ 1 (pow b 2))))) -1)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ (- 2 (* 2 (/ 1 (pow b 2)))) -1)) (* (- (* 4 (/ 1 (pow b 2)))) (/ -2 -1)))) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (* a a) (- a 3)) (- 1 (pow a 3))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (- a 3)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow a 3)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow b 4)) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (+ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ a 1) (* a a)) (- a 3)) in b * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* a a) (- a 3)) (- 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- a 3)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow b 4)) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow b 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ a 1) (* a a)) (- a 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* a a) (- a 3)) (- 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- a 3)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow b 4)) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow b 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ a 1) (* a a)) (- a 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 0 -3) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -9 1) into -9 * [misc]backup-simplify: Simplify (* (pow b 2) -9) into (* -9 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* -9 (pow b 2))) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 1 (pow b 4)) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (+ (+ (pow b 4) 1) 0) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (pow b 4) 1) 0) into (+ (pow b 4) 1) * [misc]backup-simplify: Simplify (* (+ (pow b 4) 1) 4) into (* 4 (+ (pow b 4) 1)) * [misc]backup-simplify: Simplify (* (- (* 9 (pow b 2))) (* 4 (+ (pow b 4) 1))) into (* -36 (* (+ (pow b 4) 1) (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 1 -3) into -3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 2) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (- (pow b 8)) into (- (pow b 8)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 8))) into (- 1 (pow b 8)) * [misc]backup-simplify: Simplify (* -3 (- 1 (pow b 8))) into (* -3 (- 1 (pow b 8))) * [misc]backup-simplify: Simplify (- (* -3 (- 1 (pow b 8)))) into (- 3 (* 3 (pow b 8))) * [misc]backup-simplify: Simplify (+ (* -36 (* (+ (pow b 4) 1) (pow b 2))) (- 3 (* 3 (pow b 8)))) into (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) * [misc]taylor: Taking taylor expansion of (- 3 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8))))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 3 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 36 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (pow b 2)) (* 3 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of (* 36 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (pow b 4) 1) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -9 1) (* 0 1)) into -9 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) -9) (* 0 -9)) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (pow b 2)))) into (- (* 9 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 9 (pow b 2))) 0) (* (- (* 9 (pow b 2))) (* 4 (+ (pow b 4) 1)))) into (- (+ (* 36 (pow b 6)) (* 36 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (* 0 (pow b 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 -3)) into -2 * [misc]backup-simplify: Simplify (+ (* -3 0) (* -2 (- 1 (pow b 8)))) into (- (* 2 (pow b 8)) 2) * [misc]backup-simplify: Simplify (- (- (* 2 (pow b 8)) 2)) into (- 2 (* 2 (pow b 8))) * [misc]backup-simplify: Simplify (+ (- (+ (* 36 (pow b 6)) (* 36 (pow b 2)))) (- 2 (* 2 (pow b 8)))) into (- 2 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 2 (pow b 8))))) * [misc]taylor: Taking taylor expansion of (- 2 (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 2 (pow b 8))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (* 36 (pow b 6)) (+ (* 36 (pow b 2)) (* 2 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 36 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (pow b 2)) (* 2 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of (* 36 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 1) (+ (* 0 0) (* 0 0))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (+ (pow b 4) 1) 0) (+ (* 0 0) (* (* 2 (pow b 2)) 4))) into (* 8 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (* 1 -3))) into -3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* -3 1))) into -3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -9 1) (+ (* 0 1) (* 1 1))) into -8 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) -8) (+ (* 0 -9) (* 0 -9))) into (- (* 8 (pow b 2))) * [misc]backup-simplify: Simplify (+ -3 (- (* 8 (pow b 2)))) into (- (+ (* 8 (pow b 2)) 3)) * [misc]backup-simplify: Simplify (+ (* (- (* 9 (pow b 2))) (* 8 (pow b 2))) (+ (* (- (* 9 (pow b 2))) 0) (* (- (+ (* 8 (pow b 2)) 3)) (* 4 (+ (pow b 4) 1))))) into (- (+ (* 84 (pow b 4)) (+ (* 32 (pow b 6)) (+ (* 32 (pow b 2)) 12)))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 1) (+ (* 0 0) (* 0 0))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow b 2)) 1) (+ (* 0 0) (* 0 0))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (pow b 4) (* 2 (pow b 2))) (+ (* 0 0) (* (* 2 (pow b 2)) (pow b 4)))) into (* 4 (pow b 6)) * [misc]backup-simplify: Simplify (- (* 4 (pow b 6))) into (- (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (pow b 6)))) into (- (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 1 -3))) into -2 * [misc]backup-simplify: Simplify (+ (* -3 (- (* 4 (pow b 6)))) (+ (* -2 0) (* -2 (- 1 (pow b 8))))) into (- (+ (* 12 (pow b 6)) (* 2 (pow b 8))) 2) * [misc]backup-simplify: Simplify (- (- (+ (* 12 (pow b 6)) (* 2 (pow b 8))) 2)) into (- 2 (+ (* 12 (pow b 6)) (* 2 (pow b 8)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 84 (pow b 4)) (+ (* 32 (pow b 6)) (+ (* 32 (pow b 2)) 12)))) (- 2 (+ (* 12 (pow b 6)) (* 2 (pow b 8))))) into (- (+ (* 84 (pow b 4)) (+ (* 44 (pow b 6)) (+ (* 32 (pow b 2)) (+ (* 2 (pow b 8)) 10))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 84 (pow b 4)) (+ (* 44 (pow b 6)) (+ (* 32 (pow b 2)) (+ (* 2 (pow b 8)) 10))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 84 (pow b 4)) (+ (* 44 (pow b 6)) (+ (* 32 (pow b 2)) (+ (* 2 (pow b 8)) 10)))) in b * [misc]taylor: Taking taylor expansion of (* 84 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 84 in b * [misc]backup-simplify: Simplify 84 into 84 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 44 (pow b 6)) (+ (* 32 (pow b 2)) (+ (* 2 (pow b 8)) 10))) in b * [misc]taylor: Taking taylor expansion of (* 44 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 44 in b * [misc]backup-simplify: Simplify 44 into 44 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 32 (pow b 2)) (+ (* 2 (pow b 8)) 10)) in b * [misc]taylor: Taking taylor expansion of (* 32 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 32 in b * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 8)) 10) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 10 in b * [misc]backup-simplify: Simplify 10 into 10 * [misc]backup-simplify: Simplify (+ 0 10) into 10 * [misc]backup-simplify: Simplify (+ 0 10) into 10 * [misc]backup-simplify: Simplify (+ 0 10) into 10 * [misc]backup-simplify: Simplify (+ 0 10) into 10 * [misc]backup-simplify: Simplify (- 10) into -10 * [misc]backup-simplify: Simplify -10 into -10 * [misc]backup-simplify: Simplify (+ (* -10 (pow (* 1 a) 2)) (+ (* 2 (* 1 a)) 3)) into (- (+ (* 2 a) 3) (* 10 (pow a 2))) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) (- 1 (pow (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 b) 4)) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) (- (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 -3) (* 1 1)) into -2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -2 -1)) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -4 -2) into -6 * [misc]taylor: Taking taylor expansion of -6 in b * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -3) (* 0 1)) into -3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -3 -1)) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 4)) into 12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow b 2))) 1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (pow b 2)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (pow b 2))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 -3) (* 1 1))) into -2 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 4 (/ 1 (pow b 2))))) (+ (* -2 0) (* -2 -1))) into (- 2 (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- 2 (* 4 (/ 1 (pow b 2))))) into (- (* 4 (/ 1 (pow b 2))) 2) * [misc]backup-simplify: Simplify (+ 12 (- (* 4 (/ 1 (pow b 2))) 2)) into (+ 10 (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 10 (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 10 in b * [misc]backup-simplify: Simplify 10 into 10 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 2 (/ 1 (pow b 2))) 4))) into (* 8 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -3) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -3 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 1) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 (* 8 (/ 1 (pow b 2)))) (+ (* 3 0) (* (/ 1 (pow b 2)) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (* 2 (/ 1 (pow b 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 1 -3) (* 0 1)))) into -3 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -2 (- (* 4 (/ 1 (pow b 2))))) (+ (* -2 0) (* -3 -1)))) into (+ 3 (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ 3 (* 8 (/ 1 (pow b 2))))) into (- (+ 3 (* 8 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) (- (+ 3 (* 8 (/ 1 (pow b 2)))))) into (- (+ 3 (* 12 (/ 1 (pow b 2))))) * [misc]taylor: Taking taylor expansion of (- (+ 3 (* 12 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (+ 3 (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -3 0) (+ (* 0 0) (* 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 1) (* 0 1)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 (pow b 2))) into (+ 1 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 (* 8 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 2)) 0) (* (+ 1 (/ 1 (pow b 2))) 4)))) into (+ 4 (* 28 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (/ 1 (pow b 4)) 1))))) into (* 6 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (* 6 (/ 1 (pow b 4)))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (/ 1 (pow b 4))))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 1 0) (+ (* 0 -3) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 6 (/ 1 (pow b 4))))) (+ (* -2 0) (+ (* -2 (- (* 4 (/ 1 (pow b 2))))) (+ (* -3 0) (* 0 -1))))) into (- (* 8 (/ 1 (pow b 2))) (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (- (* 8 (/ 1 (pow b 2))) (* 6 (/ 1 (pow b 4))))) into (- (* 6 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (+ 4 (* 28 (/ 1 (pow b 2)))) (- (* 6 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2))))) into (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2))))) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 4 (* 20 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 (pow b 4))) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow b 4)) 1) 0) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow b 4)) 1) 0) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (* (+ (/ 1 (pow b 4)) 1) 4))))) into (+ (* 4 (/ 1 (pow b 4))) 4) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -3 1) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into -3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* 0 1) (* -9 1))) into -8 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) -8) (+ (* 0 1) (* 0 1))) into (- (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ -3 (- (* 8 (/ 1 (pow b 2))))) into (- (+ 3 (* 8 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (* -1 (+ (* 4 (/ 1 (pow b 4))) 4)) (+ (* 3 0) (+ (* (/ 1 (pow b 2)) (* 8 (/ 1 (pow b 2)))) (+ (* (+ 1 (/ 1 (pow b 2))) 0) (* (- (+ 3 (* 8 (/ 1 (pow b 2))))) 4))))) into (- (* 4 (/ 1 (pow b 4))) (+ (* 32 (/ 1 (pow b 2))) 16)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 4)) 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -2 (- (* 6 (/ 1 (pow b 4))))) (+ (* -2 0) (+ (* -3 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 0) (* 0 -1)))))) into (+ (* 12 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 12 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2))))) into (- (+ (* 12 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 4))) (+ (* 32 (/ 1 (pow b 2))) 16)) (- (+ (* 12 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))))) into (- (+ 16 (+ (* 8 (/ 1 (pow b 4))) (* 44 (/ 1 (pow b 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ 16 (+ (* 8 (/ 1 (pow b 4))) (* 44 (/ 1 (pow b 2)))))) in b * [misc]taylor: Taking taylor expansion of (+ 16 (+ (* 8 (/ 1 (pow b 4))) (* 44 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow b 4))) (* 44 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 44 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 44 in b * [misc]backup-simplify: Simplify 44 into 44 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow b 4)) 1) 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -3 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* -9 1) (* 0 1)))) into -9 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) -9) (+ (* 0 -8) (+ (* 0 1) (* 0 1)))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 2))))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 (+ (* 4 (/ 1 (pow b 4))) 4)) (+ (* (/ 1 (pow b 2)) 0) (+ (* (+ 1 (/ 1 (pow b 2))) (* 8 (/ 1 (pow b 2)))) (+ (* (- (+ 3 (* 8 (/ 1 (pow b 2))))) 0) (* (- (* 9 (/ 1 (pow b 2)))) 4)))))) into (- (+ (* 20 (/ 1 (pow b 4))) 12) (* 28 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1))))))) into (* 4 (/ 1 (pow b 6))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (pow b 6)))) into (- (* 4 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (pow b 6))))) into (- (* 4 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 4 (/ 1 (pow b 6))))) (+ (* -2 0) (+ (* -2 (- (* 6 (/ 1 (pow b 4))))) (+ (* -3 0) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 0) (* 0 -1))))))) into (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (- (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 6))))) into (- (* 4 (/ 1 (pow b 6))) (* 12 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 20 (/ 1 (pow b 4))) 12) (* 28 (/ 1 (pow b 2)))) (- (* 4 (/ 1 (pow b 6))) (* 12 (/ 1 (pow b 4))))) into (- (+ (* 4 (/ 1 (pow b 6))) (+ (* 8 (/ 1 (pow b 4))) 12)) (* 28 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow b 6))) (+ (* 8 (/ 1 (pow b 4))) 12)) (* 28 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow b 6))) (+ (* 8 (/ 1 (pow b 4))) 12)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow b 4))) 12) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (* 28 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 28 in b * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow b 4)) 1) 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 1) (+ (* 0 1) (* 0 1))))) into -9 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) -9) (+ (* 0 -9) (+ (* 0 -8) (+ (* 0 1) (* 0 1))))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 2))))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* (/ 1 (pow b 2)) (+ (* 4 (/ 1 (pow b 4))) 4)) (+ (* (+ 1 (/ 1 (pow b 2))) 0) (+ (* (- (+ 3 (* 8 (/ 1 (pow b 2))))) (* 8 (/ 1 (pow b 2)))) (+ (* (- (* 9 (/ 1 (pow b 2)))) 0) (* (- (* 9 (/ 1 (pow b 2)))) 4))))))) into (- (* 4 (/ 1 (pow b 6))) (+ (* 64 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -2 (- (* 4 (/ 1 (pow b 6))))) (+ (* -2 0) (+ (* -3 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 0) (* 0 -1)))))))) into (+ (* 8 (/ 1 (pow b 6))) (* 18 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* 8 (/ 1 (pow b 6))) (* 18 (/ 1 (pow b 4))))) into (- (+ (* 8 (/ 1 (pow b 6))) (* 18 (/ 1 (pow b 4))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 6))) (+ (* 64 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2))))) (- (+ (* 8 (/ 1 (pow b 6))) (* 18 (/ 1 (pow b 4)))))) into (- (+ (* 4 (/ 1 (pow b 6))) (+ (* 82 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow b 6))) (+ (* 82 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow b 6))) (+ (* 82 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 82 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 82 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 82 in b * [misc]backup-simplify: Simplify 82 into 82 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 56 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 56 in b * [misc]backup-simplify: Simplify 56 into 56 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow b 4)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 0) (+ (* 0 1) (+ (* 0 1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 -9) (+ (* 0 -9) (+ (* 0 -8) (+ (* 0 1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* (/ 1 (pow b 2)) 0) (+ (* (+ 1 (/ 1 (pow b 2))) (+ (* 4 (/ 1 (pow b 4))) 4)) (+ (* (- (+ 3 (* 8 (/ 1 (pow b 2))))) 0) (+ (* (- (* 9 (/ 1 (pow b 2)))) (* 8 (/ 1 (pow b 2)))) (+ (* (- (* 9 (/ 1 (pow b 2)))) 0) (* 0 4)))))))) into (- (+ (* 4 (/ 1 (pow b 6))) (+ 4 (* 4 (/ 1 (pow b 2))))) (* 68 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1))))))))) into (/ 1 (pow b 8)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 8))) into (- (/ 1 (pow b 8))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 8)))) into (- 1 (/ 1 (pow b 8))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1 (/ 1 (pow b 8)))) (+ (* -2 0) (+ (* -2 (- (* 4 (/ 1 (pow b 6))))) (+ (* -3 0) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 0) (* 0 -1))))))))) into (- (+ (* 8 (/ 1 (pow b 6))) 1) (/ 1 (pow b 8))) * [misc]backup-simplify: Simplify (- (- (+ (* 8 (/ 1 (pow b 6))) 1) (/ 1 (pow b 8)))) into (- (/ 1 (pow b 8)) (+ (* 8 (/ 1 (pow b 6))) 1)) * [misc]backup-simplify: Simplify (+ (- (+ (* 4 (/ 1 (pow b 6))) (+ 4 (* 4 (/ 1 (pow b 2))))) (* 68 (/ 1 (pow b 4)))) (- (/ 1 (pow b 8)) (+ (* 8 (/ 1 (pow b 6))) 1))) into (- (+ (/ 1 (pow b 8)) (+ 3 (* 4 (/ 1 (pow b 2))))) (+ (* 4 (/ 1 (pow b 6))) (* 68 (/ 1 (pow b 4))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 8)) (+ 3 (* 4 (/ 1 (pow b 2))))) (+ (* 4 (/ 1 (pow b 6))) (* 68 (/ 1 (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 8)) (+ 3 (* 4 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow b 6))) (* 68 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 68 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 68 in b * [misc]backup-simplify: Simplify 68 into 68 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (+ 6 0) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 6 (* (pow (/ 1 b) -4) (pow (/ 1 a) -7))) (+ (* 4 (* (pow (/ 1 b) -6) (pow (/ 1 a) -5))) (* 1 (* (pow (/ 1 b) -8) (pow (/ 1 a) -3))))) into (+ (* (pow a 3) (pow b 8)) (+ (* 6 (* (pow a 7) (pow b 4))) (* 4 (* (pow a 5) (pow b 6))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) (- 1 (pow (/ 1 (- a)) 3))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (pow (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ 1 (pow (/ 1 (- b)) 4)) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) (- (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* 1 -3) (* -1 -1)) into -2 * [misc]backup-simplify: Simplify (+ (* -1 0) (* -2 -1)) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -4 -2) into -6 * [misc]taylor: Taking taylor expansion of -6 in b * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -3) (* 0 -1)) into -3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* -3 1)) into -3 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* -3 4)) into -12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow b 2))) 1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (pow b 2)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (pow b 2))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 -3) (* 1 -1))) into 2 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 4 (/ 1 (pow b 2))))) (+ (* -2 0) (* 2 -1))) into (- (* 4 (/ 1 (pow b 2))) 2) * [misc]backup-simplify: Simplify (- (- (* 4 (/ 1 (pow b 2))) 2)) into (- 2 (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ -12 (- 2 (* 4 (/ 1 (pow b 2))))) into (- (+ 10 (* 4 (/ 1 (pow b 2))))) * [misc]taylor: Taking taylor expansion of (- (+ 10 (* 4 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (+ 10 (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 10 in b * [misc]backup-simplify: Simplify 10 into 10 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 2) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 2 (pow b 2)) 1) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow b 2))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 2 (/ 1 (pow b 2))) 4))) into (* 8 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -3) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 1) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 (* 8 (/ 1 (pow b 2)))) (+ (* -3 0) (* (/ 1 (pow b 2)) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (* 2 (/ 1 (pow b 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 1 -3) (* 0 -1)))) into -3 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -2 (- (* 4 (/ 1 (pow b 2))))) (+ (* 2 0) (* -3 -1)))) into (+ 3 (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ 3 (* 8 (/ 1 (pow b 2))))) into (- (+ 3 (* 8 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) (- (+ 3 (* 8 (/ 1 (pow b 2)))))) into (- (+ 3 (* 12 (/ 1 (pow b 2))))) * [misc]taylor: Taking taylor expansion of (- (+ 3 (* 12 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (+ 3 (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* -3 0) (+ (* 0 0) (* 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* 0 1)) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) -1) (* 0 1)) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ -1 (- (/ 1 (pow b 2)))) into (- (+ 1 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 (* 8 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 2)) 0) (* (- (+ 1 (/ 1 (pow b 2)))) 4)))) into (- (+ 4 (* 28 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 4))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (/ 1 (pow b 4)) 1))))) into (* 6 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (* 6 (/ 1 (pow b 4)))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (/ 1 (pow b 4))))) into (- (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 1 0) (+ (* 0 -3) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 6 (/ 1 (pow b 4))))) (+ (* -2 0) (+ (* 2 (- (* 4 (/ 1 (pow b 2))))) (+ (* -3 0) (* 0 -1))))) into (- (* 6 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 6 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2))))) into (- (* 8 (/ 1 (pow b 2))) (* 6 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (- (+ 4 (* 28 (/ 1 (pow b 2))))) (- (* 8 (/ 1 (pow b 2))) (* 6 (/ 1 (pow b 4))))) into (- (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ 1 (pow b 4))) (+ 4 (* 20 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 4 (* 20 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 20 in b * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 (pow b 4))) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow b 4)) 1) 0) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow b 4)) 1) 0) into (+ (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (* (+ (/ 1 (pow b 4)) 1) 4))))) into (+ (* 4 (/ 1 (pow b 4))) 4) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 1) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* 0 -1) (* -9 1))) into -8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) -8) (+ (* 0 -1) (* 0 1))) into (- (* 8 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ -3 (- (* 8 (/ 1 (pow b 2))))) into (- (+ 3 (* 8 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (* -1 (+ (* 4 (/ 1 (pow b 4))) 4)) (+ (* -3 0) (+ (* (/ 1 (pow b 2)) (* 8 (/ 1 (pow b 2)))) (+ (* (- (+ 1 (/ 1 (pow b 2)))) 0) (* (- (+ 3 (* 8 (/ 1 (pow b 2))))) 4))))) into (- (* 4 (/ 1 (pow b 4))) (+ (* 32 (/ 1 (pow b 2))) 16)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 4)) 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -2 (- (* 6 (/ 1 (pow b 4))))) (+ (* 2 0) (+ (* -3 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 0) (* 0 -1)))))) into (+ (* 12 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 12 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2))))) into (- (+ (* 12 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 4))) (+ (* 32 (/ 1 (pow b 2))) 16)) (- (+ (* 12 (/ 1 (pow b 4))) (* 12 (/ 1 (pow b 2)))))) into (- (+ 16 (+ (* 8 (/ 1 (pow b 4))) (* 44 (/ 1 (pow b 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ 16 (+ (* 8 (/ 1 (pow b 4))) (* 44 (/ 1 (pow b 2)))))) in b * [misc]taylor: Taking taylor expansion of (+ 16 (+ (* 8 (/ 1 (pow b 4))) (* 44 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow b 4))) (* 44 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 44 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 44 in b * [misc]backup-simplify: Simplify 44 into 44 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow b 4)) 1) 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* -9 -1) (* 0 1)))) into 9 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 9) (+ (* 0 -8) (+ (* 0 -1) (* 0 1)))) into (* 9 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 9 (/ 1 (pow b 2)))) into (* 9 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 (+ (* 4 (/ 1 (pow b 4))) 4)) (+ (* (/ 1 (pow b 2)) 0) (+ (* (- (+ 1 (/ 1 (pow b 2)))) (* 8 (/ 1 (pow b 2)))) (+ (* (- (+ 3 (* 8 (/ 1 (pow b 2))))) 0) (* (* 9 (/ 1 (pow b 2))) 4)))))) into (- (* 28 (/ 1 (pow b 2))) (+ (* 20 (/ 1 (pow b 4))) 12)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1))))))) into (* 4 (/ 1 (pow b 6))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (pow b 6)))) into (- (* 4 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (pow b 6))))) into (- (* 4 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 4 (/ 1 (pow b 6))))) (+ (* -2 0) (+ (* 2 (- (* 6 (/ 1 (pow b 4))))) (+ (* -3 0) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 0) (* 0 -1))))))) into (- (* 4 (/ 1 (pow b 6))) (* 12 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (- (* 4 (/ 1 (pow b 6))) (* 12 (/ 1 (pow b 4))))) into (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ (- (* 28 (/ 1 (pow b 2))) (+ (* 20 (/ 1 (pow b 4))) 12)) (- (* 12 (/ 1 (pow b 4))) (* 4 (/ 1 (pow b 6))))) into (- (* 28 (/ 1 (pow b 2))) (+ (* 4 (/ 1 (pow b 6))) (+ (* 8 (/ 1 (pow b 4))) 12))) * [misc]taylor: Taking taylor expansion of (- (* 28 (/ 1 (pow b 2))) (+ (* 4 (/ 1 (pow b 6))) (+ (* 8 (/ 1 (pow b 4))) 12))) in b * [misc]taylor: Taking taylor expansion of (* 28 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 28 in b * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow b 6))) (+ (* 8 (/ 1 (pow b 4))) 12)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow b 4))) 12) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow b 4)) 1) 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 1) (+ (* 0 -1) (* 0 1))))) into -9 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) -9) (+ (* 0 9) (+ (* 0 -8) (+ (* 0 -1) (* 0 1))))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 2))))) into (- (* 9 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 0) (+ (* (/ 1 (pow b 2)) (+ (* 4 (/ 1 (pow b 4))) 4)) (+ (* (- (+ 1 (/ 1 (pow b 2)))) 0) (+ (* (- (+ 3 (* 8 (/ 1 (pow b 2))))) (* 8 (/ 1 (pow b 2)))) (+ (* (* 9 (/ 1 (pow b 2))) 0) (* (- (* 9 (/ 1 (pow b 2)))) 4))))))) into (- (* 4 (/ 1 (pow b 6))) (+ (* 64 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (/ 1 (pow b 4)) 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -2 (- (* 4 (/ 1 (pow b 6))))) (+ (* 2 0) (+ (* -3 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 0) (* 0 -1)))))))) into (+ (* 8 (/ 1 (pow b 6))) (* 18 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* 8 (/ 1 (pow b 6))) (* 18 (/ 1 (pow b 4))))) into (- (+ (* 8 (/ 1 (pow b 6))) (* 18 (/ 1 (pow b 4))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 6))) (+ (* 64 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2))))) (- (+ (* 8 (/ 1 (pow b 6))) (* 18 (/ 1 (pow b 4)))))) into (- (+ (* 4 (/ 1 (pow b 6))) (+ (* 82 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow b 6))) (+ (* 82 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow b 6))) (+ (* 82 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 82 (/ 1 (pow b 4))) (* 56 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 82 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 82 in b * [misc]backup-simplify: Simplify 82 into 82 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 56 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 56 in b * [misc]backup-simplify: Simplify 56 into 56 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow b 4)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -9 0) (+ (* 0 1) (+ (* 0 -1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 -9) (+ (* 0 9) (+ (* 0 -8) (+ (* 0 -1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -3 0) (+ (* (/ 1 (pow b 2)) 0) (+ (* (- (+ 1 (/ 1 (pow b 2)))) (+ (* 4 (/ 1 (pow b 4))) 4)) (+ (* (- (+ 3 (* 8 (/ 1 (pow b 2))))) 0) (+ (* (* 9 (/ 1 (pow b 2))) (* 8 (/ 1 (pow b 2)))) (+ (* (- (* 9 (/ 1 (pow b 2)))) 0) (* 0 4)))))))) into (- (* 68 (/ 1 (pow b 4))) (+ (* 4 (/ 1 (pow b 6))) (+ 4 (* 4 (/ 1 (pow b 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 (pow b 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow b 2))) 0) (+ (* 0 0) (+ (* (/ 1 (pow b 4)) (/ 1 (pow b 4))) (+ (* 0 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1))))))))) into (/ 1 (pow b 8)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 8))) into (- (/ 1 (pow b 8))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 8)))) into (- 1 (/ 1 (pow b 8))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- 1 (/ 1 (pow b 8)))) (+ (* -2 0) (+ (* 2 (- (* 4 (/ 1 (pow b 6))))) (+ (* -3 0) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 0) (+ (* 0 (- (* 4 (/ 1 (pow b 2))))) (+ (* 0 0) (* 0 -1))))))))) into (- (/ 1 (pow b 8)) (+ (* 8 (/ 1 (pow b 6))) 1)) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow b 8)) (+ (* 8 (/ 1 (pow b 6))) 1))) into (- (+ (* 8 (/ 1 (pow b 6))) 1) (/ 1 (pow b 8))) * [misc]backup-simplify: Simplify (+ (- (* 68 (/ 1 (pow b 4))) (+ (* 4 (/ 1 (pow b 6))) (+ 4 (* 4 (/ 1 (pow b 2)))))) (- (+ (* 8 (/ 1 (pow b 6))) 1) (/ 1 (pow b 8)))) into (- (+ (* 4 (/ 1 (pow b 6))) (* 68 (/ 1 (pow b 4)))) (+ 3 (+ (/ 1 (pow b 8)) (* 4 (/ 1 (pow b 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow b 6))) (* 68 (/ 1 (pow b 4)))) (+ 3 (+ (/ 1 (pow b 8)) (* 4 (/ 1 (pow b 2)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow b 6))) (* 68 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 68 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 68 in b * [misc]backup-simplify: Simplify 68 into 68 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (+ (/ 1 (pow b 8)) (* 4 (/ 1 (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 8)) (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (+ 6 0) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (+ (* -6 (* (pow (/ 1 (- b)) -4) (pow (/ 1 (- a)) -7))) (+ (* -4 (* (pow (/ 1 (- b)) -6) (pow (/ 1 (- a)) -5))) (* -1 (* (pow (/ 1 (- b)) -8) (pow (/ 1 (- a)) -3))))) into (+ (* (pow a 3) (pow b 8)) (+ (* 6 (* (pow a 7) (pow b 4))) (* 4 (* (pow a 5) (pow b 6))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) -9) (+ (+ a 1) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) -9) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ a 1) (* a a)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ (pow a 2) -9) into (- (pow a 2) 9) * [misc]backup-simplify: Simplify (+ a 1) into (+ a 1) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ (+ a 1) (pow a 2)) into (+ a (+ (pow a 2) 1)) * [misc]backup-simplify: Simplify (* (- (pow a 2) 9) (+ a (+ (pow a 2) 1))) into (* (+ a (+ (pow a 2) 1)) (- (pow a 2) 9)) * [misc]backup-simplify: Simplify (* 0 (* (+ a (+ (pow a 2) 1)) (- (pow a 2) 9))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 2) 9) 0) (* 0 (+ a (+ (pow a 2) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (* (+ a (+ (pow a 2) 1)) (- (pow a 2) 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 2) 9) 0) (+ (* 0 0) (* 0 (+ a (+ (pow a 2) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (* (+ a (+ (pow a 2) 1)) (- (pow a 2) 9))))) into (- (+ (pow a 4) (pow a 3)) (+ (* 9 a) (+ (* 8 (pow a 2)) 9))) * [misc]taylor: Taking taylor expansion of (- (+ (pow a 4) (pow a 3)) (+ (* 9 a) (+ (* 8 (pow a 2)) 9))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 9 a) (+ (* 8 (pow a 2)) 9)) in a * [misc]taylor: Taking taylor expansion of (* 9 a) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 8 (pow a 2)) 9) in a * [misc]taylor: Taking taylor expansion of (* 8 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* 9 0) into 0 * [misc]backup-simplify: Simplify (+ 0 9) into 9 * [misc]backup-simplify: Simplify (+ 0 9) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify -9 into -9 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 2) 9) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ a (+ (pow a 2) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (* (+ a (+ (pow a 2) 1)) (- (pow a 2) 9)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 9 1) (* 0 0)) into 9 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 9 0) into 9 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify -9 into -9 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 2) 9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ a (+ (pow a 2) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (+ a (+ (pow a 2) 1)) (- (pow a 2) 9))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 8 1) into 8 * [misc]backup-simplify: Simplify (+ 8 0) into 8 * [misc]backup-simplify: Simplify (+ 0 8) into 8 * [misc]backup-simplify: Simplify (- 8) into -8 * [misc]backup-simplify: Simplify (+ 0 -8) into -8 * [misc]backup-simplify: Simplify -8 into -8 * [misc]backup-simplify: Simplify (+ (* -8 (pow (* a b) 2)) (+ (* -9 (* a (pow b 2))) (* -9 (pow (* 1 b) 2)))) into (- (+ (* 8 (* (pow a 2) (pow b 2))) (+ (* 9 (pow b 2)) (* 9 (* a (pow b 2)))))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) -9) (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) -9) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 a) 1) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 2)) -9) into (- (/ 1 (pow a 2)) 9) * [misc]backup-simplify: Simplify (+ (/ 1 a) 1) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (+ (/ 1 a) 1) (/ 1 (pow a 2))) into (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) * [misc]backup-simplify: Simplify (* (- (/ 1 (pow a 2)) 9) (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1))) into (* (- (/ 1 (pow a 2)) 9) (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1))) * [misc]backup-simplify: Simplify (* 1 (* (- (/ 1 (pow a 2)) 9) (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)))) into (* (- (/ 1 (pow a 2)) 9) (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (pow a 2)) 9) (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 2)) 9) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 2)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow a 2)) 9) 0) (* 0 (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (- (/ 1 (pow a 2)) 9) (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow a 2)) 9) 0) (+ (* 0 0) (* 0 (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (/ 1 (pow a 2)) 9) (+ (/ 1 a) (+ (/ 1 (pow a 2)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* 0 1) (* -9 1))) into -8 * [misc]backup-simplify: Simplify -8 into -8 * [misc]backup-simplify: Simplify (+ (* -8 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) (+ (* 1 (* (pow (/ 1 a) -3) (pow (/ 1 b) -2))) (* 1 (pow (* (pow (/ 1 a) -2) (/ 1 (/ 1 b))) 2)))) into (- (+ (* (pow a 3) (pow b 2)) (* (pow a 4) (pow b 2))) (* 8 (* (pow a 2) (pow b 2)))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -9 in a * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) -9) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of -9 in b * [misc]backup-simplify: Simplify -9 into -9 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- a)) 1) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 2)) -9) into (- (/ 1 (pow a 2)) 9) * [misc]backup-simplify: Simplify (+ (/ -1 a) 1) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (- 1 (/ 1 a)) (/ 1 (pow a 2))) into (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) * [misc]backup-simplify: Simplify (* (- (/ 1 (pow a 2)) 9) (- (+ (/ 1 (pow a 2)) 1) (/ 1 a))) into (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (- (/ 1 (pow a 2)) 9)) * [misc]backup-simplify: Simplify (* 1 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (- (/ 1 (pow a 2)) 9))) into (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (- (/ 1 (pow a 2)) 9)) * [misc]taylor: Taking taylor expansion of (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (- (/ 1 (pow a 2)) 9)) in a * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 2)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 2)) 9) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow a 2)) 9) 0) (* 0 (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (- (/ 1 (pow a 2)) 9)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 1)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow a 2)) 9) 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (pow a 2)) 1) (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (+ (/ 1 (pow a 2)) 1) (/ 1 a)) (- (/ 1 (pow a 2)) 9))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 9) into -9 * [misc]backup-simplify: Simplify (+ 0 -9) into -9 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 -9) (+ (* -1 0) (* 1 1))) into -8 * [misc]backup-simplify: Simplify -8 into -8 * [misc]backup-simplify: Simplify (+ (* -8 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) (+ (* -1 (* (pow (/ 1 (- a)) -3) (pow (/ 1 (- b)) -2))) (* 1 (pow (* (pow (/ 1 (- a)) -2) (/ 1 (/ 1 (- b)))) 2)))) into (- (+ (* (pow a 3) (pow b 2)) (* (pow a 4) (pow b 2))) (* 8 (* (pow a 2) (pow b 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 2 2 2) * [misc]approximate: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (* b b) 2) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* (* b b) 2) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow a 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 2))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow a 2)))) into (* 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 b) (/ 1 b)) 2) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) into (* 2 (* (pow a 2) (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- b)) (/ 1 (- b))) 2) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) into (* 2 (* (pow a 2) (pow b 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (+ (log (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (+ (log (- a 3)) (log (+ (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (- (log (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) 4) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (* (* b b) (+ (+ 1 a) (* a a))) (+ -9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))))) (+ (+ (log (+ (+ 1 a) (* a a))) (log (- a 3))) (log (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) 4) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (* (* b b) (+ (+ 1 a) (* a a))) (+ -9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))))) (+ (+ (log (+ (+ 1 a) (* a a))) (log (- a 3))) (log (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * * * * [misc]progress: [ 3 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (+ (log (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (log (* (- a 3) (+ (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (- (log (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 b) (* b a)) a)) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (+ 1 a) (* a a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (- 1 (* (+ (* (* (* 2 b) (* b a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 b) (* b a)) a) (+ (pow a 4) (pow b 4)))))))) (+ (log (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (log (* (+ -3 a) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 b) (* b a)) a)) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (+ 1 a) (* a a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (- 1 (* (+ (* (* (* 2 b) (* b a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 b) (* b a)) a) (+ (pow a 4) (pow b 4)))))))) (+ (log (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (log (* (+ -3 a) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 4 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (log (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (- (log (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ a -3))))) (log (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ a -3))))) (log (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * * * * [misc]progress: [ 5 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (* (* (* (- a 3) (- a 3)) (- a 3)) (* (* (+ (+ 1 a) (* a a)) (+ (+ 1 a) (* a a))) (+ (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (/ (* (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) 4) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (* a a) (+ 1 a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))))) (* (+ (* a a) (+ 1 a)) (+ a -3)))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) 4) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (* a a) (+ 1 a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))))) (* (+ (* a a) (+ 1 a)) (+ a -3))))) (/ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) (* (* (+ (* a a) (+ 1 a)) (+ (* a a) (+ 1 a))) (* (+ (* a a) (+ 1 a)) (pow (+ a -3) 3))))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) 4) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (* a a) (+ 1 a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))))) (* (+ (* a a) (+ 1 a)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) 4) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (* a a) (+ 1 a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))))) (* (+ (* a a) (+ 1 a)) (+ a -3)))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) 4) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (* a a) (+ 1 a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))))) (* (+ (* a a) (+ 1 a)) (+ a -3))))) (/ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) (* (* (+ (* a a) (+ 1 a)) (+ (* a a) (+ 1 a))) (* (+ (* a a) (+ 1 a)) (pow (+ a -3) 3))))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) b) (* b a))) 4) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (* a a) (+ 1 a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) b) (* b a))))) (* (+ (* a a) (+ 1 a)) (+ a -3)))))))) * * * * [misc]progress: [ 8 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (/ (* (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)) 4) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)))))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)) 4) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b))))))) (/ (* (* (pow (* (+ (+ 1 a) (* a a)) (- a 3)) 3) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)) 4) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)) 4) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)))))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)) 4) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b))))))) (/ (* (* (pow (* (+ (+ 1 a) (* a a)) (- a 3)) 3) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) (* b a)) b)) 4) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* b a)) b)))))))))) * * * * [misc]progress: [ 9 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (/ (* (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* 2 b) (* b a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (+ -9 (* a a)) (* (+ (+ 1 a) (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))))))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* 2 b) (* b a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (+ -9 (* a a)) (* (+ (+ 1 a) (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a))))))))) (/ (pow (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* 2 b) (* b a)))) (* (+ -3 a) (+ (+ 1 a) (* a a)))) 3) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* 2 b) (* b a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (+ -9 (* a a)) (* (+ (+ 1 a) (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* 2 b) (* b a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (+ -9 (* a a)) (* (+ (+ 1 a) (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))))))) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* 2 b) (* b a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (+ -9 (* a a)) (* (+ (+ 1 a) (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a))))))))) (/ (pow (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* 2 b) (* b a)))) (* (+ -3 a) (+ (+ 1 a) (* a a)))) 3) (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* 2 b) (* b a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (+ -9 (* a a)) (* (+ (+ 1 a) (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* 2 b) (* b a)))))))))))) * * * * [misc]progress: [ 10 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (/ (* (+ (* (* 2 a) (* a (* b b))) (+ (+ 1 (pow b 4)) (pow a 4))) 4) (* (+ a -3) (+ (* (* 2 a) (* a (* b b))) (+ (+ 1 (pow b 4)) (pow a 4))))) (/ (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (* (* b b) (+ (* a a) (+ 1 a))) (+ -9 (* a a)))) (+ (* a a) (+ 1 a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (* (/ (* (+ (* (* 2 a) (* a (* b b))) (+ (+ 1 (pow b 4)) (pow a 4))) 4) (* (+ a -3) (+ (* (* 2 a) (* a (* b b))) (+ (+ 1 (pow b 4)) (pow a 4))))) (/ (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (* (* b b) (+ (* a a) (+ 1 a))) (+ -9 (* a a)))) (+ (* a a) (+ 1 a)))) (/ (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 15 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (+ 1 a) (* a a))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ -3 a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a))))) (cbrt (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (+ 1 a) (* a a))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (+ 1 a) (* a a))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ -3 a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a))))) (cbrt (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (+ 1 a) (* a a))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ -3 a)))))) (/ (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (- a 3) (+ (+ 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (491 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (+ (* 8 (* (* b b) (* a a))) (+ (* (+ (pow a 4) (pow b 4)) 4) 4)) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (* b b) (+ (+ 1 a) (* a a))) (+ -9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (* a (* (* 2 a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* 2 a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (/ (cbrt (- (* (+ (* 8 (* (* b b) (* a a))) (+ (* (+ (pow a 4) (pow b 4)) 4) 4)) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (* b b) (+ (+ 1 a) (* a a))) (+ -9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (* a (* (* 2 a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* 2 a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (* (+ (+ 1 a) (* a a)) (+ -3 a))))) * * * * [misc]progress: [ 16 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* 2 b) (* a a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ -3 a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* 2 b) (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* 2 b) (* a a)))) 4) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ -9 (* a a)) (* b b))))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ -3 a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* 2 b) (* a a))))) (/ (sqrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (- a 3) (+ (+ 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (491 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (+ (* 8 (* (* b b) (* a a))) (+ (* (+ (pow a 4) (pow b 4)) 4) 4)) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (* b b) (+ (+ 1 a) (* a a))) (+ -9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (* a (* (* 2 a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* 2 a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (/ (sqrt (- (* (+ (* 8 (* (* b b) (* a a))) (+ (* (+ (pow a 4) (pow b 4)) 4) 4)) (+ (* (- 1 (pow a 3)) (* (+ -3 a) (* a a))) (* (* (* b b) (+ (+ 1 a) (* a a))) (+ -9 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (- 1 (* (+ (* a (* (* 2 a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* 2 a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (* (+ (+ 1 a) (* a a)) (+ -3 a))))) * * * * [misc]progress: [ 17 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ 1 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* 2 (* (* b a) (* b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* 2 (* (* b a) (* b a))))) (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * [enter]simplify: Simplifying (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- a 3) (+ (+ 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (- (* (/ (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (* a a) (+ 1 a)) (* (+ -9 (* a a)) (* b b)))) (+ a -3)) (/ (* (+ (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow b 4)) (pow a 4))) 4) (+ (* a a) (+ 1 a)))) (/ (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (/ (* (+ a -3) (+ (* a a) (+ 1 a))) (* (+ a -3) (+ (* a a) (+ 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (- (* (/ (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ (* a a) (+ 1 a)) (* (+ -9 (* a a)) (* b b)))) (+ a -3)) (/ (* (+ (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow b 4)) (pow a 4))) 4) (+ (* a a) (+ 1 a)))) (/ (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (/ (* (+ a -3) (+ (* a a) (+ 1 a))) (* (+ a -3) (+ (* a a) (+ 1 a)))))))) * * * * [misc]progress: [ 18 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- a 3) (+ (+ 1 a) (* a a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (+ 1 a)) (+ -3 a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b)))) (* (+ (* a a) (+ 1 a)) (+ -3 a)))) * * * * [misc]progress: [ 22 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (+ (+ (* 4 (+ (pow a 4) (pow b 4))) 4) (* (* (* b b) (* a a)) 8)) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (* b b)) (+ -9 (* a a))))) (* (- 1 (* (+ (* a (* (* 2 b) (* b a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* 2 b) (* b a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (- a 3))))) (cbrt (- (* (+ (+ (* 4 (+ (pow a 4) (pow b 4))) 4) (* (* (* b b) (* a a)) 8)) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (* b b)) (+ -9 (* a a))))) (* (- 1 (* (+ (* a (* (* 2 b) (* b a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* 2 b) (* b a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (* (+ (+ (* 4 (+ (pow a 4) (pow b 4))) 4) (* (* (* b b) (* a a)) 8)) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (* b b)) (+ -9 (* a a))))) (* (- 1 (* (+ (* a (* (* 2 b) (* b a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* 2 b) (* b a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (- a 3))))) (cbrt (- (* (+ (+ (* 4 (+ (pow a 4) (pow b 4))) 4) (* (* (* b b) (* a a)) 8)) (+ (* (- 1 (pow a 3)) (* (- a 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (* b b)) (+ -9 (* a a))))) (* (- 1 (* (+ (* a (* (* 2 b) (* b a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* 2 b) (* b a))) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (- a 3)))))) (/ (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (cbrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 23 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (445 enodes) * [exit]simplify: Simplified to (sqrt (- (* (+ (* 8 (* (* b b) (* a a))) (+ 4 (* 4 (+ (pow a 4) (pow b 4))))) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ -9 (* a a)) (* (+ (+ 1 a) (* a a)) (* b b))))) (* (- 1 (* (+ (* (* (* 2 b) (* b a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 b) (* b a)) a) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ a -3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (- (* (+ (* 8 (* (* b b) (* a a))) (+ 4 (* 4 (+ (pow a 4) (pow b 4))))) (+ (* (- 1 (pow a 3)) (* (+ a -3) (* a a))) (* (+ -9 (* a a)) (* (+ (+ 1 a) (* a a)) (* b b))))) (* (- 1 (* (+ (* (* (* 2 b) (* b a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 b) (* b a)) a) (+ (pow a 4) (pow b 4))))) (* (+ (+ 1 a) (* a a)) (+ a -3))))) (/ (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (sqrt (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 24 / 10521 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (440 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b a) (* b a)) 2))) (* (+ (* (+ 1 a) (+ 1 a)) (* (- (* a a) (+ 1 a)) (* a a))) (+ (* a a) (* 3 (+ 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- (pow a 3) (pow 3 3)) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b a) (* b a)) 2))) (* (+ (* (+ 1 a) (+ 1 a)) (* (- (* a a) (+ 1 a)) (* a a))) (+ (* a a) (* 3 (+ 3 a))))))) * * * * [misc]progress: [ 26 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (- (+ 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (- (* (* (* b a) 2) (* b a)) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* b a) 2) (* b a)))) (* (- (+ 1 a) (* a a)) (+ (* a a) (* (+ 3 a) 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- (pow a 3) (pow 3 3)) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (- (* (* (* b a) 2) (* b a)) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* b a) 2) (* b a)))) (* (- (+ 1 a) (* a a)) (+ (* a a) (* (+ 3 a) 3)))))) * * * * [misc]progress: [ 27 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) (* (+ a 3) (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* b a) (* (* b a) 2)) (- (* (* b a) (* (* b a) 2)) (+ 1 (+ (pow b 4) (pow a 4)))))) (+ (* (* (+ a 3) (+ 1 a)) (+ 1 a)) (* (* (+ a 3) (* a a)) (- (* a a) (+ 1 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- (* a a) (* 3 3)) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* b a) (* (* b a) 2)) (- (* (* b a) (* (* b a) 2)) (+ 1 (+ (pow b 4) (pow a 4)))))) (+ (* (* (+ a 3) (+ 1 a)) (+ 1 a)) (* (* (+ a 3) (* a a)) (- (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 28 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) (* (+ a 3) (- (+ 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ a 3) (- (+ 1 a) (* a a))) (* (* (* b a) (* b a)) 2)) (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ a 3) (- (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- (* a a) (* 3 3)) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (+ (* (* (* (+ a 3) (- (+ 1 a) (* a a))) (* (* (* b a) (* b a)) 2)) (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ a 3) (- (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 29 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* b a) 2) (* b a)) (- (* (* (* b a) 2) (* b a)) (+ 1 (+ (pow a 4) (pow b 4)))))) (+ (* (- (* a a) (+ 1 a)) (* a a)) (* (+ 1 a) (+ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- a 3) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* b a) 2) (* b a)) (- (* (* (* b a) 2) (* b a)) (+ 1 (+ (pow a 4) (pow b 4)))))) (+ (* (- (* a a) (+ 1 a)) (* a a)) (* (+ 1 a) (+ 1 a)))))) * * * * [misc]progress: [ 30 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) (- (+ 1 a) (* a a))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (- (+ 1 a) (* a a)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (- (+ 1 a) (* a a)) (* (* (* b a) (* b a)) 2)) (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- a 3) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (+ (* (* (- (+ 1 a) (* a a)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (- (+ 1 a) (* a a)) (* (* (* b a) (* b a)) 2)) (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow b 4) (pow a 4)))))))) * * * * [misc]progress: [ 31 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) (+ (* a a) (+ (* 3 3) (* a 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* 3 (+ 3 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* b a) (* b a)) 2) (+ (* a a) (* 3 (+ 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- (pow a 3) (pow 3 3)) (+ (+ 1 a) (* a a))))) (+ (* (* (+ (* a a) (* 3 (+ 3 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* b a) (* b a)) 2) (+ (* a a) (* 3 (+ 3 a)))))))) * * * * [misc]progress: [ 32 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) (+ a 3)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (* (* (+ a 3) (* 2 (* (* b a) (* b a)))) (- (* 2 (* (* b a) (* b a))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (+ a 3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- (* a a) (* 3 3)) (+ (+ 1 a) (* a a))))) (+ (* (* (+ a 3) (* 2 (* (* b a) (* b a)))) (- (* 2 (* (* b a) (* b a))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (+ a 3))))) * * * * [misc]progress: [ 33 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (* (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b a) (* b a)) 2)) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ 1 a) (+ 1 a)) (* (- (* a a) (+ 1 a)) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- (pow a 3) (pow 3 3)) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (* (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b a) (* b a)) 2)) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ 1 a) (+ 1 a)) (* (- (* a a) (+ 1 a)) (* a a)))))) * * * * [misc]progress: [ 34 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (- (+ 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (- (+ 1 a) (* a a)) (+ (* (+ a 3) 3) (* a a))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b a) (* 2 (* b a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- (pow a 3) (pow 3 3)) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (* (* (- (+ 1 a) (* a a)) (+ (* (+ a 3) 3) (* a a))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b a) (* 2 (* b a))))))) * * * * [misc]progress: [ 35 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (+ a 3) (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 3) (* (+ 1 a) (+ 1 a))) (* (* (* a a) (+ a 3)) (- (* a a) (+ 1 a)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* 2 (* (* b a) (* b a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- (* a a) (* 3 3)) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (* (+ (* (+ a 3) (* (+ 1 a) (+ 1 a))) (* (* (* a a) (+ a 3)) (- (* a a) (+ 1 a)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* 2 (* (* b a) (* b a))))))) * * * * [misc]progress: [ 36 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (+ a 3) (- (+ 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b a) (* b a)) 2)) (* (- (+ 1 a) (* a a)) (+ a 3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- (* a a) (* 3 3)) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b a) (* b a)) 2)) (* (- (+ 1 a) (* a a)) (+ a 3))))) * * * * [misc]progress: [ 37 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* 2 (* (* b a) (* b a)))) (+ (* (- (* a a) (+ 1 a)) (* a a)) (* (+ 1 a) (+ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- a 3) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* 2 (* (* b a) (* b a)))) (+ (* (- (* a a) (+ 1 a)) (* a a)) (* (+ 1 a) (+ 1 a)))))) * * * * [misc]progress: [ 38 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (- (+ 1 a) (* a a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* 2 (* b a)) (* b a))) (- (+ 1 a) (* a a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- a 3) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* 2 (* b a)) (* b a))) (- (+ 1 a) (* a a))))) * * * * [misc]progress: [ 39 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (+ (* a a) (+ (* 3 3) (* a 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* 2 (* (* b a) (* b a)))) (+ (* 3 (+ a 3)) (* a a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- (pow a 3) (pow 3 3)) (+ (+ 1 a) (* a a))))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* 2 (* (* b a) (* b a)))) (+ (* 3 (+ a 3)) (* a a))))) * * * * [misc]progress: [ 40 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (+ a 3)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b a) (* b a)) 2)) (+ a 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- (* a a) (* 3 3)) (+ (+ 1 a) (* a a))))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b a) (* b a)) 2)) (+ a 3)))) * * * * [misc]progress: [ 41 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ a 3) 3) (* a a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- (pow a 3) (pow 3 3)) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ a 3) 3) (* a a))))) * * * * [misc]progress: [ 42 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (+ (* 3 3) (* a 3))) (- (+ 1 a) (* a a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (* (+ (* a (+ a 3)) 9) (+ a (- 1 (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- (pow a 3) (pow 3 3)) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (* (+ (* a (+ a 3)) 9) (+ a (- 1 (* a a)))))) * * * * [misc]progress: [ 43 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a 3) (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 a) (+ 1 a)) (+ 3 a)) (* (- (* a a) (+ 1 a)) (* (+ 3 a) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- (* a a) (* 3 3)) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (+ (* (* (+ 1 a) (+ 1 a)) (+ 3 a)) (* (- (* a a) (+ 1 a)) (* (+ 3 a) (* a a)))))) * * * * [misc]progress: [ 44 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a 3) (- (+ 1 a) (* a a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (* (- (+ 1 a) (* a a)) (+ 3 a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- (* a a) (* 3 3)) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (* (- (+ 1 a) (* a a)) (+ 3 a)))) * * * * [misc]progress: [ 45 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ 1 a) (+ 1 a)) (- (* (* a a) (* a a)) (* (+ 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (pow (+ 1 a) 3) (pow (* a a) 3))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) * * * * [misc]progress: [ 46 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 a) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (+ a 1) (* a a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (- (* (+ 1 a) (+ 1 a)) (* (* a a) (* a a)))))) (- (+ a 1) (* a a)))) * * * * [misc]progress: [ 47 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (+ (* 3 3) (* a 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ 9 (* (+ a 3) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- (pow a 3) (pow 3 3)) (+ (+ 1 a) (* a a))))) (+ 9 (* (+ a 3) a)))) * * * * [misc]progress: [ 48 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 3 a) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- (* a a) (* 3 3)) (+ (+ 1 a) (* a a))))) (+ 3 a))) * * * * [misc]progress: [ 49 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (- (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b))) (* (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (- (* (* (* (* b a) (* b a)) 2) (* (* (* b a) (* b a)) 2)) (* (+ 1 (+ (pow b 4) (pow a 4))) (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ 1 (+ (pow b 4) (pow a 4))) 3) (pow (* (* a 2) (* (* a b) b)) 3)) (* (- a 3) (+ (+ 1 a) (* a a))))) (- (* (* (* (* b a) (* b a)) 2) (* (* (* b a) (* b a)) 2)) (* (+ 1 (+ (pow b 4) (pow a 4))) (- (* (* (* b a) (* b a)) 2) (+ 1 (+ (pow b 4) (pow a 4)))))))) * * * * [misc]progress: [ 50 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (- (- (+ (pow b 4) (pow a 4)) -1) (* (* (* b a) (* b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (+ (* (* (* a a) (- a 3)) (- 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (- (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a 2) (* (* a b) b)) (* (* a 2) (* (* a b) b)))) (* (- a 3) (+ (+ 1 a) (* a a))))) (- (- (+ (pow b 4) (pow a 4)) -1) (* (* (* b a) (* b a)) 2)))) * * * * [misc]progress: [ 51 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow 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(* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 52 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) 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[exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 53 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (316 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* 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(* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)) (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)) (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* 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(* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 55 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (320 enodes) * [exit]simplify: Simplified to (- (* (+ (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))))) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (- 1 (pow (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))))) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (- 1 (pow (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 56 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 57 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 58 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* 4 (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) 1)))) (* (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* 4 (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) 1)))) (* (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 59 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 60 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* b b) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1)) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) 2) (* a a)))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- 1 (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* b b) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1)) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* 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b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 61 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (+ a 3)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) 1))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (+ a 3)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) 1))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 62 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ a 3))) (+ a 3))) (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ a 3))) (+ a 3))) (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 63 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* a (* -9 a)))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) 2) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a))) (- 1 (pow (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* a (* -9 a)))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) 2) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a))) (- 1 (pow (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 64 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* a a)) (* b b)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* a a)) (* b b)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 65 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1)) (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (- (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1)) (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4) (- (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 66 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (- (+ a 1) (* a a)))) (- (+ a 1) (* a a)))) (* (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ a -3) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) 4)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (- (+ a 1) (* a a)))) (- (+ a 1) (* a a)))) (* (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ a -3) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 67 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ -3 a) (+ (+ a 1) (* a a)))) (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ -3 a) (+ (+ a 1) (* a a)))) (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 68 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (+ (+ a 1) (* a a)) (+ -3 a))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (+ (+ a 1) (* a a)) (+ -3 a))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 69 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)) (- 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)) (- 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 70 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 71 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))))) (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))))) (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 72 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) b) (* 2 b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* b b) (+ -729 (* (pow a 3) (pow a 3))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) b) (* 2 b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 73 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27)))))) (* (* (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27)) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27)))))) (* (* (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27)) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 74 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ a 3))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27))))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ a 3))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27))))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 75 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 76 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* 3 (+ a 3)))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ -3 a) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* 3 (+ a 3)))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))) (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ -3 a) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 77 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) 4)) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))))) (* (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) 4)) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))))) (* (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 78 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) 4)) (+ (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) 4)) (+ (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 79 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 80 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (+ (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* 4 (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (+ (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* 4 (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 81 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 82 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4)))) 4) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4)))) 4) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 83 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) 4)) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) 4)) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 84 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4) (* (+ a 3) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4) (* (+ a 3) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 85 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) 4) (+ (* a a) (* (+ a 3) 3)))) (+ (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) 4) (+ (* a a) (* (+ a 3) 3)))) (+ (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 86 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)))) (* (+ (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (* (+ a 3) 3))) (+ (* a a) (* (+ a 3) 3))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) 4))) (* (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)))) (* (+ (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* a a) (* (+ a 3) 3))) (+ (* a a) (* (+ a 3) 3))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) 4))) (* (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 87 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))))) (* (* (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) 4) (+ a 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))))) (* (* (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) 4) (+ a 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 88 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ a 1) (* a a)) (+ (* a a) -9)) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (- (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4)))) 4) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1)) (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (* (* (+ (+ a 1) (* a a)) (+ (* a a) -9)) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (- (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4)))) 4) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1)) (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 89 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) 4) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) 4) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 90 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* b b) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* b b) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 91 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (- (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (* (* (* (* 4 (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (- (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 92 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1) (- (+ a 1) (* a a)))) (* (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) 2) (* a a))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* b b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1) (- (+ a 1) (* a a)))) (* (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) 2) (* a a))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 93 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4) (+ (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ a -3) (+ (+ a 1) (* a a))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4) (+ (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ a -3) (+ (+ a 1) (* a a))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 94 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) 4)) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) 4)) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 95 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 96 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b)))) 4)) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b)))) 4)) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* b b)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 97 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (+ (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) 2) (* a a)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3)))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))))) (* (* (+ (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) 2) (* a a)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3)))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) 2) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 98 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 99 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 100 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (+ a 3))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27))))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (+ a 3))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27))))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 101 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) b)) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 102 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (+ -729 (* (pow a 3) (pow a 3))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 103 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 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a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 104 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* 2 (* (* b b) (* a a)))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* 2 (* (* b b) (* a a)))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 105 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* b (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* b (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 106 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* b b) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* b b) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 107 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (+ -27 (pow a 3)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (+ -27 (pow a 3)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 108 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 109 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) b)) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) b)) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 110 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (+ (* a a) (* 3 (+ a 3)))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* 4 (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (+ (* a a) (* 3 (+ a 3)))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* 4 (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 111 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 112 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* a a) (* (+ a 3) 3))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) b) (* 2 b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) b) (* 2 b)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* a a) (* (+ a 3) 3))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) b) (* 2 b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) b) (* 2 b)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 113 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ a 3))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ a 3))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 114 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (+ a 3))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (+ a 3))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 115 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 116 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b b) (* (* a a) 2)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b b) (* (* a a) 2)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 117 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* 2 b)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* 2 b)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 118 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 119 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* b (+ -729 (* (pow a 3) (pow a 3)))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* 4 (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (+ a -3)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* b (+ -729 (* (pow a 3) (pow a 3)))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* 4 (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (+ a -3)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 120 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 121 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 122 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* b (+ -729 (* (pow a 3) (pow a 3)))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* b (+ -729 (* (pow a 3) (pow a 3)))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 123 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 124 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 125 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (* (* b b) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (* (* b b) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 126 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3))) (+ (* (* b b) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3))) (+ (* (* b b) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 127 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 a)) a))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 a)) a))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 128 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* 2 b)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* 2 b)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 129 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 130 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* a a) b) (* 2 b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* 2 b))) 4))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* a a) b) (* 2 b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* 2 b))) 4))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 131 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* b (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ -729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) 4)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) b) (* (* b (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ -729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) 4)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 132 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 133 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -27 (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -27 (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 134 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 135 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1))) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) 4)) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1))) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) 4)) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 136 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))))) (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -729 (* (pow a 3) (pow a 3))) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 137 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* (* (* (* 4 (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2))) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* (* (* (* 4 (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2))) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 138 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 139 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ a 3))) (+ (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ a 3))) (+ (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 140 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ a 3))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ a 3))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 141 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 142 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1)) (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1)) (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 143 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 144 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (- (+ a 1) (* a a))) (* (* (* 4 (+ (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow a 4) (pow b 4))))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (- (+ a 1) (* a a))) (* (* (* 4 (+ (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow a 4) (pow b 4))))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 145 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (+ (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 146 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ a -3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ a -3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 147 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3))))) (* b b)) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 148 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* b b))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 149 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (- (pow a 3) 27) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (- (pow a 3) 27) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 150 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 151 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 152 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* 4 (+ a 3)))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* 4 (+ a 3)))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 153 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* b b))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 154 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))) (* (+ a -3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* b b)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))) (* (+ a -3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 155 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* 2 b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* 2 b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 156 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (* (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (- (* a 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1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 157 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 158 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 159 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) 9)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) 9)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 160 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -27 (pow a 3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 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(* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 161 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (316 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- 1 (pow (pow a 3) 3)) (* (* (+ (pow a 4) (* -27 a)) a) (+ (* a a) 9))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b b) (* (* a a) 2))))) (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- 1 (pow (pow a 3) 3)) (* (* (+ (pow a 4) (* -27 a)) a) (+ (* a a) 9))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b b) (* (* a a) 2))))) (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 162 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 163 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 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Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 164 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 165 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ a 3)) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9))) (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ a 3)) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9))) (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 166 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a))))) (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* 4 (+ (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)))) (* (* (* (+ -9 (* a a)) (+ (* a a) (+ a 1))) (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a))))) (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* 4 (+ (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)))) (* (* (* (+ -9 (* a a)) (+ (* a a) (+ a 1))) (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 167 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* (+ a 3) 3)))) (* (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* (+ a 3) 3)))) (* (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 168 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 169 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* 2 b))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3)))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* 2 b))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3)))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 170 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a)))) (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* a a) 2))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a)))) (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* a a) 2))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 171 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* b (* (* 2 b) (* a a))))) (* (+ (* a a) (+ a 1)) (- a 3))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* b (* (* 2 b) (* a a))))) (* (+ (* a a) (+ a 1)) (- a 3))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 172 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ a -3) (+ (* a a) (+ a 1)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ a -3) (+ (* a a) (+ a 1)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 173 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 174 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 175 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* a a) 9)))) (* (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ -27 (pow a 3)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* a a) 9)))) (* (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ -27 (pow a 3)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 176 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* 2 b)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* 2 b)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 177 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* 2 a)) a))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* 2 a)) a))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 178 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3)))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (- (* a a) 9) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3)))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (- (* a a) 9) (+ (* a a) (+ a 1)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 179 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) (* b b)) 2))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) (* b b)) 2))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 180 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 181 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 182 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))))) (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))))) (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 183 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a))))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a))))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 184 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 185 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 186 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (* (* (* b b) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9))) (* (* (* 4 (+ (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (- (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) 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1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) 4)) (* (+ a 3) (- (+ a 1) (* a a)))))) (* 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b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 188 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ a 3) (- (+ a 1) (* a a)))))) (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* 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4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 189 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a))))) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b 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a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 190 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (* 4 (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (* 4 (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 191 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))) 4)) (+ a 3)) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* a a) (+ a 1)) (- (* a a) 9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))) 4)) (+ a 3)) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* a a) (+ a 1)) (- (* a a) 9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 192 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (+ a 3) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ a 3))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (+ a 3) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ a 3))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 193 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 194 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* 4 (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* 4 (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ -81 (pow a 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 195 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 196 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))))) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ a -3))) (* (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))))) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ a -3))) (* (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 197 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 198 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (+ (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* 2 a)))) 4))) (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (- a 3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (+ (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* 2 a)))) 4))) (+ (* (* (* (* b b) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (- a 3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 199 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* 2 b) b) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 b) b) (* a a))) 4)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))))) (* (* (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 b) b) (* a a))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (- (pow a 3) 27)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* 2 b) b) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 b) b) (* a a))) 4)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))))) (* (* (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 b) b) (* a a))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (- (pow a 3) 27)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 200 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 b) b) (* a a))))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (- 1 (* (+ (* (* (* 2 b) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 b) b) (* a a)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 b) b) (* a a))))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (- 1 (* (+ (* (* (* 2 b) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 b) b) (* a a)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 201 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3)))))) (* (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3)))))) (* (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 202 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 203 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 204 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (+ a 3)))) (* (* (* (+ (* a a) (+ a 1)) (+ -9 (* a a))) (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b)))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (+ a 3)))) (* (* (* (+ (* a a) (+ a 1)) (+ -9 (* a a))) (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b)))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 205 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (+ -3 a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (- (pow a 4) 81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (+ -3 a)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 206 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 4) -81))) (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 207 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* 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4))) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a)))) (+ (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow 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(* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 208 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ -81 (pow a 4)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ -81 (pow a 4)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ 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(pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 209 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ -81 (pow a 4))))))) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (+ (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ -81 (pow a 4))))))) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (+ (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow 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(* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 210 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ (pow a 3) -27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ (pow a 3) -27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 211 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 212 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ -81 (pow a 4)))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ -81 (pow a 4)))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 213 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (* b b) (+ (pow a 4) -81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (* b b) (+ (pow a 4) -81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 214 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (- (pow a 4) 81)))))) (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* b (* (* 2 b) (* a a))))) (* (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (- (pow a 4) 81)))))) (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* b (* (* 2 b) (* a a))))) (* (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 215 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (+ (* (+ a 3) 3) (* a a)))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (+ (* (+ a 3) 3) (* a a)))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 216 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* 3 (+ a 3)) (* a a)) (* b b))) (* (* (+ (pow a 4) -81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* 3 (+ a 3)) (* a a)) (* b b))) (* (* (+ (pow a 4) -81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 217 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (* (* b b) (+ (pow a 4) -81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) (* (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ a 3)) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (* (* b b) (+ (pow a 4) -81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) (* (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ a 3)) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 218 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ a 3)) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* 2 (* a a))))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) -9) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ a 3)) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* 2 (* a a))))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) -9) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 219 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (- (pow a 4) 81))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (- (pow a 4) 81))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 220 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 221 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ (pow a 4) -81)))) (+ (* 3 (+ a 3)) (* a a)))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (- (+ a 1) (* a a)) (+ (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ (pow a 4) -81)))) (+ (* 3 (+ a 3)) (* a a)))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (- (+ a 1) (* a a)) (+ (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 222 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ -81 (pow a 4))))))) (+ (- (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ -81 (pow a 4))))))) (+ (- (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 223 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (- (pow a 4) 81))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))))) (* 4 (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ a -3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (- (pow a 4) 81))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))))) (* 4 (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ a -3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 224 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (- (pow a 4) 81)))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (- a 3) (+ (* a a) (+ a 1))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (- (pow a 4) 81)))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (- a 3) (+ (* a a) (+ a 1))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 225 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a)))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a)))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 226 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (pow a 4) -81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* 2 b))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (pow a 4) -81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* 2 b))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 227 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 228 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (* (* b b) (+ (pow a 4) -81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (* a a) 9))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (* (* b b) (+ (pow a 4) -81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (* a a) 9))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 229 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ (* (+ a 3) 3) (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 4) 81)))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ (* (+ a 3) 3) (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 4) 81)))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 230 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* a a)) (* b b)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3))))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))) (- 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* a a)) (* b b)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (+ (pow a 3) (* (pow a 3) (pow a 3))))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))) (- 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 231 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ -81 (pow a 4)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ -81 (pow a 4)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 232 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ (pow a 4) -81))))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ (pow a 4) -81))))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 233 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* 4 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (+ (* (+ a 3) 3) (* a a)))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* 4 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (+ (* (+ a 3) 3) (* a a)))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 234 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 235 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 236 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 237 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 238 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (+ (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (+ (* (+ a 3) 3) (* a a))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (+ (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (+ (* (+ a 3) 3) (* a a))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 239 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ -81 (pow a 4)))))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) 4))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ -81 (pow a 4)))))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) 4))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 240 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (- (pow a 4) 81))))) (* 4 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b)))))) (* (+ 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (- (pow a 4) 81))))) (* 4 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b)))))) (* (+ 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 241 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* (* (* 4 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))))) (+ (* 3 (+ a 3)) (* a a))) (+ (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* (* (* 4 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))))) (+ (* 3 (+ a 3)) (* a a))) (+ (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 242 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (+ (* (+ a 3) 3) (* a a)))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) 4)))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (+ (* (+ a 3) 3) (* a a)))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) 4)))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 243 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (* (+ a 3) (+ (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (* (+ a 3) (+ (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 244 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (- (pow a 4) 81))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (+ (+ a 3) (* (* (+ a 3) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 9) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (- (pow a 4) 81))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (+ (+ a 3) (* (* (+ a 3) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 9) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 245 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 246 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ -81 (pow a 4)))))) (* 4 (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ -81 (pow a 4)))))) (* 4 (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 247 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (* (+ (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (- (+ a 1) (* a a)) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (* (+ (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (- (+ a 1) (* a a)) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 248 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (+ (* (- (+ a 1) (* a a)) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) 4)))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (- (+ a 1) (* a a)) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) 4)))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 249 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (- a 3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (- a 3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 250 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ -81 (pow a 4))))))) (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ -81 (pow a 4))))))) (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 251 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a)))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a)))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 252 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (* b b) (+ (pow a 4) -81))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 253 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 254 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ (pow a 4) -81)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (+ (pow a 4) -81)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 255 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 256 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ a 3))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (+ (* 3 (+ a 3)) (* a a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ a 3))) (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (pow a 4) 81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (+ (* 3 (+ a 3)) (* a a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 257 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (pow a 4) -81)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 258 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (- (pow a 4) 81))))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (* b b) (- (pow a 4) 81))))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 259 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a)))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a)))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 260 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a)))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a)))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 261 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (* a a) 9) (* b b)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (* a a) 9) (* b b)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 262 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 263 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a 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(+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 265 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 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(* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (* a a) 9) (* b b))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (* a a) 9) (* b b))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 266 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow 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a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 267 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 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(* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 268 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 269 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (+ a 3) (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (- (* a a) 9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ a 3) (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (- (* a a) 9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 270 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 271 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 272 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 273 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 274 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* 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2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ a 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(* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 276 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 277 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 278 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 279 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) 2) (* b b)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (pow a 3) 27) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) 2) (* b b)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (pow a 3) 27) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 280 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 281 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* b 2) (* a a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* b 2) (* a a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 282 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 283 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 284 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 285 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 286 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 287 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (* a a) 9) (* b b))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (* a a) 9) (* b b))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 288 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 289 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (- (+ a 1) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))) (+ (* (+ a 3) 3) (* a a)))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (- (+ a 1) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))) (+ (* (+ a 3) 3) (* a a)))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 290 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 291 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (- (+ a 1) (* a a))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (+ a 3))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ -9 (* a a)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (- (+ a 1) (* a a))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (+ a 3))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ -9 (* a a)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 292 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 293 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1)) (+ (* (+ a 3) 3) (* a a))) (* (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1)) (+ (* (+ a 3) 3) (* a a))) (* (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 294 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 295 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (+ a 3))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (+ a 3))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 296 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 297 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 298 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 299 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 300 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 301 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ -3 a) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b)))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ -3 a) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 302 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) 4)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (+ a 1) (* a a)) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) 4)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (+ a 1) (* a a)) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 303 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* 4 (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* 4 (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 304 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* 4 (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* 4 (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 305 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 306 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 307 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (* 4 (+ (* (+ a 3) 3) (* a a))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (* 4 (+ (* (+ a 3) 3) (* a a))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 308 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (* 4 (+ a 3))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (* 4 (+ a 3))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 309 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 310 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ a -3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ a -3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 311 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 312 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b 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(* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 313 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (+ (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ -9 (* a a)) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (+ -9 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (+ (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ -9 (* a a)) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* 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4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 314 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* b 2) (* a a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* b 2) (* a a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 315 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- 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2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 316 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (+ (* a a) (* (+ a 3) 3)))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (+ (* a a) (* (+ a 3) 3)))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 317 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (* (* (- (* a a) 9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (* (+ a 3) (- (+ a 1) (* a a))))) (+ (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* b 2)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (* (* (- (* a a) 9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (* (+ a 3) (- (+ a 1) (* a a))))) (+ (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* b 2)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 318 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (- (+ a 1) (* a a))) (* (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ a 3)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (- (+ a 1) (* a a))) (* (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ a 3)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 319 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) 3)) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) 3)) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 320 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (* a a) (* (+ a 3) 3)))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* b 2))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (* a a) (* (+ a 3) 3)))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* b 2))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 321 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (* a a) (* 3 (+ a 3)))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4) (+ a 3)))) (* (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (* a a) (* 3 (+ a 3)))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4) (+ a 3)))) (* (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 322 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (* a a) 9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))))) (* 4 (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ a 3))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 a)) a))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (* a a) 9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))))) (* 4 (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ a 3))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 a)) a))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 323 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 324 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 325 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* 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a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1)) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1)) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 327 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 328 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* (+ a 3) 3))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* (+ a 3) 3))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 329 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* (+ a 3) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 330 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ -9 (* a a)) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ -9 (* a a)) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 331 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* (+ a 3) 3)) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (* a (* (* b b) (* 2 a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* (+ a 3) 3)) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (* a (* (* b b) (* 2 a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 332 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 333 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 334 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (+ a 3))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* 3 (+ a 3))) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (+ a 3))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* 3 (+ a 3))) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 335 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 336 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))))) (* (* (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))))) (* (* (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 337 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 4))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1)))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 4))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1)))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 338 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 339 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 4) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (+ (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (pow (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 3)) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ -9 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 4) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (+ (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (pow (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 3)) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ -9 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 340 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (- (* a a) 9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (- (* a a) 9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 341 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2)))) 4)) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2)))) 4)) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 342 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))))) (+ (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))))) (+ (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 343 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 344 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* b 2) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* b 2) (* a a)))) 4))) (* (* (+ a 3) (- (+ a 1) (* a a))) (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* b 2) (* a a)))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* b 2) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* b 2) (* a a)))) 4))) (* (* (+ a 3) (- (+ a 1) (* a a))) (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* b 2) (* a a)))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 345 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) 4))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) 4))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 346 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* a a) (* (+ a 3) 3)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* a a) (* (+ a 3) 3)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 347 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (+ a 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (+ a 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 348 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* b b) (+ (* a a) -9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (+ a 3) (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* b b) (+ (* a a) -9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (+ a 3) (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 349 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 4) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 4) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 350 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 351 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2))) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2))) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 352 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 353 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (+ (+ a 1) (* a a)) (+ a -3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (+ (+ a 1) (* a a)) (+ a -3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 354 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* 4 (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* 4 (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 355 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) 4)) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) 4)) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 356 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b 2) b)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b 2) b)))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b 2) b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b 2) b)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b 2) b)))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b 2) b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 357 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 358 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (- (* a a) 9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (- (* a a) 9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 359 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 360 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (* 4 (+ a 3))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (- (* a a) 9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (* 4 (+ a 3))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (- (* a a) 9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 361 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 362 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 363 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (+ (* 3 (+ a 3)) (* a a)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (+ (* 3 (+ a 3)) (* a a)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 364 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b 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(+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 365 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* 4 (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* 4 (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 366 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b 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(* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 367 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 368 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 369 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 370 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1)) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1)) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 371 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* a a) (+ a 1)) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* a a) (+ a 1)) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 372 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 373 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ a 3) (* (+ (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))))) (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ a 3) (* (+ (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))))) (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 374 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ a 3))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* a (+ (pow a 4) (* a -27))) (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ a 3))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* a (+ (pow a 4) (* a -27))) (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 375 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 1))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 a) a) (* b b))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 1))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 a) a) (* b b))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 376 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 377 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1)) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1)) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow 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4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 378 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 379 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* a a) (+ a 1)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* a a) (+ a 1)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 380 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ a -3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ a -3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 381 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (* a (+ (pow a 4) (* -27 a))) (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* b (* (* b 2) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* b 2) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (* a (+ (pow a 4) (* -27 a))) (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* b (* (* b 2) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* b 2) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 382 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* 4 (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* 4 (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 383 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 384 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* 3 (+ a 3)) (* a a)))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* 3 (+ a 3)) (* a a)))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 385 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 386 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 387 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* a (+ (pow a 4) (* a -27))) (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* a (+ (pow a 4) (* a -27))) (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 388 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* (* (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* (* (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 389 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 390 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 391 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 392 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 393 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (- (+ a 1) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))) (+ (* (+ a 3) 3) (* a a)))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (- (+ a 1) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))) (+ (* (+ a 3) 3) (* a a)))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 394 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 395 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 396 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 397 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 3) 3) (* a a)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (* 4 (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 3) 3) (* a a)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (* 4 (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 398 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 399 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (+ a 3) (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4)) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ a 3) (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) 4)) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 400 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)) (* (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)) (* (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 401 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 402 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 403 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (- (+ a 1) (* a a)) (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (- (+ a 1) (* a a)) (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 404 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) 3) (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 405 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 406 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1) (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- a 3) (+ (* a a) (+ a 1))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1) (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- a 3) (+ (* a a) (+ a 1))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 407 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 408 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a)))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a)))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 409 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (+ a 3) 3) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 410 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 411 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2)))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2)))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 412 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b))))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 413 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (* a a) (+ a 1)) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 414 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 415 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1)) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1)) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 416 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 417 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (* (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (* (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 418 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4)) (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4)) (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 419 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (* b b))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 1)))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* b (* (* b 2) (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))) (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (* b b))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 1)))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* b (* (* b 2) (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 420 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a))))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a))))) (* (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 421 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) 3)) (* (+ (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) 3)) (* (+ (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 422 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 423 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ (* a a) (* 3 (+ a 3))))) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ (* a a) (* 3 (+ a 3))))) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 424 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 425 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (+ a 3))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (+ a 3))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 426 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ a 3) (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ a 3) (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 427 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* b 2)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* b 2)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 428 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 429 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* 3 (+ a 3))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* 3 (+ a 3))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 430 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))))))) (* 4 (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (- (+ a 1) (* a a))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ a -3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3))) (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))))))) (* 4 (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (- (+ a 1) (* a a))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ a -3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 431 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (* b b))) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (* b b))) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 432 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))))) (+ (* a a) (* (+ a 3) 3)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))))) (+ (* a a) (* (+ a 3) 3)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 433 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3)))) (* (* (+ (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3)))) (* (* (+ (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 434 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 435 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (+ (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* (+ a 3) 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (+ (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* (+ a 3) 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 436 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 3) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 437 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 438 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (+ (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ a 3)))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (+ (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ a 3)))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 439 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 440 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* (+ a 3) 3))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (* (pow a 3) (pow a 3)) (pow a 3)) (+ (* a a) (* (+ a 3) 3))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 441 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 4)))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 4)))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 442 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 443 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 444 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 4)) (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 4)) (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 445 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) 4) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (+ (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4)))) 1))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) 4) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (+ (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4)))) 1))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 446 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 447 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2))) (* (* (+ -9 (* a a)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2))) (* (* (+ -9 (* a a)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 448 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a))))) 4))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a))))) 4))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 449 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) 4)) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) 4)) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 450 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (* a a) 9) (+ (* a a) (* (+ a 3) 3))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 451 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) 4))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) 4))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 452 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 4)) (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ a 3))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 4)) (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ a 3))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 453 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) 4)) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) 4)) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 454 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) 4))) (+ (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) 4))) (+ (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 455 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (- (+ a 1) (* a a)))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* (+ a 3) 3))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ (pow a 4) -81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (* 4 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (- (+ a 1) (* a a)))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* (+ a 3) 3))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 456 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (- (+ a 1) (* a a)))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (- (+ a 1) (* a a)))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 457 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) 4))) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (+ a -3) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) 4))) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (+ a -3) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 458 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 4)) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 4)) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 459 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) 4))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3))))) (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) 4))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 460 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) 4)) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) 9) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))))) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) 4)) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) 9) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))))) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 461 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 462 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (* (+ (* a a) 9) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 463 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 464 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b)))) (* 4 (+ a 3))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b)))) (* 4 (+ a 3))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 465 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ -81 (pow a 4)) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (+ -81 (pow a 4)) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 466 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (pow (pow a 3) 3)))) (* (* (* b b) (* (- (pow a 4) 81) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (* a a) (* (+ a 3) 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 467 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 468 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (* 4 (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)))) (* (* (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (- (pow a 3) 27)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (* 4 (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)))) (* (* (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (- (pow a 3) 27)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 469 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1)) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 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a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 470 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* 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(* (* a a) 2))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* 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4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1)) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* 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9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))) (- (pow a 3) 27)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 472 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ 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b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (* 4 (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) (* (+ a 3) 3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (* 4 (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) (* (+ a 3) 3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 473 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (316 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 474 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) 4) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 475 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a))))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a))))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 476 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow 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left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ (* a a) (* (+ a 3) 3)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1)) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (pow a 3) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ (* a a) (* (+ a 3) 3)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1)) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 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b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 477 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- 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(* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ a 3)) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* (* 2 b) b)) (- (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 478 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ a 3))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (* (* (* (+ (+ a 1) (* a a)) (- (* a a) 9)) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ a 3))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (* (* (* (+ (+ a 1) (* a a)) (- (* a a) 9)) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 479 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* 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(* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 480 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))) (* (* (+ (* (* (* (* b 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(pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) 1)) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (* (* a a) (* (* 2 b) b)) (- (* (* a a) (* (* 2 b) b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 481 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (- (+ a 1) (* a a))))) (* (* (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3)))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ 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(* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 482 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (+ (- (+ a 1) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (- (+ a 1) (* a a)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4)) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* -27 a)))))) (* (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (- (+ a 1) (* a a)) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (- (+ a 1) (* a a)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4)) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* -27 a)))))) (* (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 483 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ 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(+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) 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(* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 484 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* 2 b)))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* 2 b))))) 1) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a a) (* b (* 2 b))))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* 2 b)))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* 2 b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* 2 b)))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* 2 b))))))) (* (- a 3) (+ (+ a 1) (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* 2 b)))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* 2 b))))) 1) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 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(pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 485 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4)) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* a a) (* (+ a 3) 3)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4)) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 486 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- 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2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 487 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 488 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* b (* (* 2 b) (* a a))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* b (* (* 2 b) (* a a))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 489 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* (* -9 a) a))))) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4))))))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* (* -9 a) a))))) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4))))))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 490 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ a 3)))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ a 3)))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 491 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))))) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))))) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 492 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 4) (* -27 a)) a))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ a -3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 4) (* -27 a)) a))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (* (+ a -3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 493 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) 4) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) 3))) (* (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) 4) (* (+ (* a a) (* (+ a 3) 3)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) 3))) (* (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 494 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1)) (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4)) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* a (* -9 a)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1)) (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4)) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* a (* -9 a)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 495 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) 4) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* a (* -9 a)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 3)) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) 4) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 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(+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 496 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 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Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (* (+ -9 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 497 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ 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(- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a))))) (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a))))) (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 498 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 499 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27))))) (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1)))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a))))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27))))) (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1)))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a))))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 500 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))) 4)) (* (* (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))) 4)) (* (* (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 501 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (+ (* a a) (* (+ a 3) 3))) (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (+ (* a a) (* (+ a 3) 3))) (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 502 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 4) (* -27 a)) a)))) (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4)) (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 4) (* -27 a)) a)))) (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4)) (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 503 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) 4) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) 3)) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* 2 b) b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) 4) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) 3)) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* 2 b) b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 504 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ a 3) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (+ a 3))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4)) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27)))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ a 3) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (+ a 3))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) 4)) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27)))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 505 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 506 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a))))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1)) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a))))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 507 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (+ (- (+ a 1) (* a a)) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) 4) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (- (+ a 1) (* a a)) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) 4) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 508 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) 1)) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27))))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) 4)) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* 2 b) b))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) 1)) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27))))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) 4)) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* 2 b) b))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 509 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* (* -9 a) a)))))) (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) 4)) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* (* -9 a) a)))))) (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) 4)) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 510 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4))) (* (* (* (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ -3 a) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4))) (* (* (* (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ -3 a) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 511 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (pow a 3) 1) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (- (pow a 3) 27) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (pow a 3) 1) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (- (pow a 3) 27) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 512 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27))))))) (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27))))))) (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 513 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a))))) (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (pow a 3) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ (pow a 4) 81) (* (* -9 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a))))) (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (pow a 3) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ (pow a 4) 81) (* (* -9 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 514 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ -9 (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ -9 (* a a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 515 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 516 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* 4 (+ a 3))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a))))) (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* 4 (+ a 3))) (+ (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a))))) (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 517 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 3) 1) (+ (* a a) (* (+ a 3) 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 518 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (pow a 3) 1) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ -3 a) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (pow a 3) 1) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ -3 a) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 519 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 520 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 521 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* b (* (* 2 b) (* a a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* b (* (* 2 b) (* a a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 522 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 523 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 524 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 525 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (* a a) 9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (* a a) 9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 526 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 527 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))))) (* (- 1 (* (pow (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))))) (* (- 1 (* (pow (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 528 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 529 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (+ a 3)) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))) (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (+ a 3)) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))) (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 530 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ a 3) (* (* (+ a 3) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* 2 b)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ a 3) (* (* (+ a 3) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* 2 b)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 531 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* a a)) (* b b)))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* a a)) (* b b)))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 532 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 533 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 534 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 535 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (+ a -3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (+ a -3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 536 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* 2 b)))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* 2 b)))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 537 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 538 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)))) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* a a) (* 3 (+ a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)))) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 539 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 540 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9)))) (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) b) (* 2 b))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* a a) (* 3 (+ a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9)))) (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) b) (* 2 b))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 541 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 542 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3)))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3)))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 543 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 544 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 545 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 546 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) 4))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) 4))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 547 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 548 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* 4 (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (* 4 (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 549 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) 4))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) 4))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 550 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 551 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a))))))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a))))))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 552 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 553 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b)))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b)))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 554 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 555 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a))))))) (+ (+ a 3) (* (* (+ a 3) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* 4 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a))))))) (+ (+ a 3) (* (* (+ a 3) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 556 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1)))))) (+ (* (* (+ a 3) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (+ a 3))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1)))))) (+ (* (* (+ a 3) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (+ a 3))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 557 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 558 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 559 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a))))))) (* (+ (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (- (+ a 1) (* a a)))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a))))))) (* (+ (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (- (+ a 1) (* a a)))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 560 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -3 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (- (+ a 1) (* a a))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))) (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -3 a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 561 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))))) (+ (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (pow (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (+ a -3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))))) (+ (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (pow (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (+ a -3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 562 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))))) (* 4 (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (+ a 1) (* a a)) (+ -3 a)))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))))) (* 4 (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (+ a 1) (* a a)) (+ -3 a)))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 563 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) 4))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) 4))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 564 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) 4))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) 4))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 565 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 566 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 567 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 568 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (* 4 (+ a 3))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (* 4 (+ a 3))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 569 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 570 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 571 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 572 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 573 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (+ (* (+ (* a (* (* b b) (* 2 a))) 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2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 574 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- 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(* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 575 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- 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3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (* b b) (+ (pow a 4) -81)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b 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(* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 576 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 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b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow a 4) (* a -27)) a)))) (* 4 (* (+ 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b 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(* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 577 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 578 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (* a a) 9) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (* a a) 9) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 579 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 580 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* a a) (* (+ a 3) 3))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* a a) (* (+ a 3) 3))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 581 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (+ a 3) (+ (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (+ a 3) (+ (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 582 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (+ a 3) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ a 3)))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) -9) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (+ a 3) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ a 3)))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) -9) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 583 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* a a) 9)))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* a a) 9)))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 584 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* -27 a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 585 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27))))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (- (+ a 1) (* a a)) (+ (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- a 3)))) (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27))))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (- (+ a 1) (* a a)) (+ (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- a 3)))) (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 586 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (- (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (- (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 587 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (* b b) (+ (pow a 4) -81)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* 4 (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ -3 a) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (* b b) (+ (pow a 4) -81)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* 4 (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ -3 a) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 588 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ a -3) (+ (* a a) (+ a 1))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* a (+ (pow a 4) (* a -27))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ a -3) (+ (* a a) (+ a 1))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 589 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (+ (pow a 4) (* -27 a)) a) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 590 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (* b b) (+ -81 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* 2 b) (* a a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (* b b) (+ -81 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* 2 b) (* a a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 591 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27))) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27))) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 592 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 593 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 594 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 595 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 596 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (* b b) (- (pow a 4) 81)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (* b b) (- (pow a 4) 81)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 597 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))) (+ (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (pow (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))) (+ (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (pow (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 598 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* (+ a 3) 3))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 599 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 600 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b)))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9)))) (* 4 (+ (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b)))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9)))) (* 4 (+ (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* a a)) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 601 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 602 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))))) (+ (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3)))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))))) (+ (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3)))) (* (- (+ a 1) (* a a)) (+ (* a a) (* (+ a 3) 3))))) (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 603 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (* b b) (+ -81 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (* b b) (+ -81 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (+ (pow a 4) (* a -27)) a) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 604 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 605 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (* (+ (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* 4 (* (+ (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a))))))) (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 606 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (* b b) (+ -81 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4))))) (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (* b b) (+ -81 (pow a 4))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) 1) (pow b 4))))) (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 607 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))))) (+ a 3)) (+ (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) -9) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))))) (+ a 3)) (+ (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) -9) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 608 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ a 3) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ a 3)) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ a 3) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (+ a 3)) (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))) (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 609 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) 4))) (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) 4))) (* (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 610 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (+ (+ (pow a 4) 1) (pow b 4)))) (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* a a) 9))))) (* 4 (+ (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* a a) (* (* 2 b) b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (+ (+ (pow a 4) 1) (pow b 4)))) (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* a a) 9))))) (* 4 (+ (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* a a) (* (* 2 b) b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 611 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (- (+ a 1) (* a a))) (+ (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (- (+ a 1) (* a a))) (+ (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 612 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (- (+ a 1) (* a a))) (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (- (+ a 1) (* a a))) (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 613 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* 4 (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ -3 a) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* 4 (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ -3 a) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 614 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27))))) (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* 2 b) b))) 4)) (+ 1 (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* 2 b) b))) (* (+ (* a a) (+ a 1)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (pow a 4) 81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27))))) (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* 2 b) b))) 4)) (+ 1 (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* 2 b) b))) (* (+ (* a a) (+ a 1)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 615 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 616 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (* (* 2 (* a a)) (* b b)))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 617 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ -81 (pow a 4)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 618 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (* b b) (+ (pow a 4) -81)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (* b b) (+ (pow a 4) -81)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 619 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (- (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (* (* (+ (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (- (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 620 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a))))) (* 4 (+ a 3))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a))))) (* 4 (+ a 3))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 621 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27))))) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* a (+ (pow a 4) (* a -27))))) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 622 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (pow a 4) -81) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 623 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ (pow a 4) -81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* 2 a) a) (* b b))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ (pow a 4) -81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* 2 a) a) (* b b))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 624 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 625 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (pow a 4) -81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))) 1))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (pow a 4) -81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))) 1))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 626 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 627 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (+ (* (* (* (- (pow a 4) 81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 3)) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (+ (* (* (* (- (pow a 4) 81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 3)) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 628 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 629 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (- (+ a 1) (* a a))) (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (+ a 3))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (+ -9 (* a a)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (- (+ a 1) (* a a))) (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (+ a 3))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (+ -9 (* a a)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 630 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9)) (+ (* 3 (+ a 3)) (* a a))) (* (+ -9 (* a a)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9)) (+ (* 3 (+ a 3)) (* a a))) (* (+ -9 (* a a)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 631 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* (+ -81 (pow a 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* b (* (* 2 b) (* a a))))) (* (* (+ (pow a 3) 1) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* (+ -81 (pow a 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* b (* (* 2 b) (* a a))))) (* (* (+ (pow a 3) 1) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 632 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (* (+ a 3) 3) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (* (+ a 3) 3) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 633 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (* (+ a 3) (* (+ (* (* (- (pow a 4) 81) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9)) (+ (* 3 (+ a 3)) (* a a))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ a 3) (* (+ (* (* (- (pow a 4) 81) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9)) (+ (* 3 (+ a 3)) (* a a))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 634 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ a 3))) (+ a 3))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (* (+ (pow a 3) 1) (+ (* a a) 9)) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ a 3))) (+ a 3))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (* (+ (pow a 3) 1) (+ (* a a) 9)) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 635 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (pow a 4) -81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (pow a 4) -81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 636 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))))) (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* a a) b) (* 2 b)))) (* (* (+ (pow a 3) 1) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))))) (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* a a) b) (* 2 b)))) (* (* (+ (pow a 3) 1) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 637 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (+ (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -81 (pow a 4)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* a (* (* b b) (* 2 a))))) (* (* (- (+ a 1) (* a a)) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (+ (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -81 (pow a 4)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* a (* (* b b) (* 2 a))))) (* (* (- (+ a 1) (* a a)) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 638 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (- (+ a 1) (* a a)) (* (* (- (+ a 1) (* a a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (+ (- (+ a 1) (* a a)) (* (* (- (+ a 1) (* a a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 639 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- a 3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- a 3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 640 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 641 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ (pow a 4) -81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ (pow a 4) -81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* 2 (* a a)) (* b b))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 642 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 643 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (- (+ a 1) (* a a)) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))))) (* (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (- (+ a 1) (* a a)) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))))) (* (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 644 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 645 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 646 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (+ -9 (* a a)) (+ (* a a) (+ a 1))))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 647 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b b) (* 2 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 648 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -3 a))))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ 1 (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -3 a))))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 649 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))))))) (* (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))) (+ (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))))))) (* (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 650 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a))))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a))))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 651 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a)))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (pow (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a)))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (pow (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 652 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 653 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a))))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a))))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a))))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a))))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 654 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b)))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (* (* (* (* (* (+ (pow a 3) 1) (+ (* a a) 9)) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b)))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (* (* (* (* (* (+ (pow a 3) 1) (+ (* a a) 9)) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* 2 b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 655 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)))) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)))) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 656 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (+ (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (+ (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 657 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 658 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b)))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (* 3 (+ a 3)) (* a a))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b)))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (* 3 (+ a 3)) (* a a))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (* (- (+ a 1) (* a a)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 659 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* a (* (* b b) (* 2 a))))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (+ a 3)) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* a (* (* b b) (* 2 a))))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (+ a 3)) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 660 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -81 (pow a 4)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))))) (+ (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))) (+ a 3))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -81 (pow a 4)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (- (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))))) (+ (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))) (+ a 3))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 661 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a))))))) (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) 1)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a))))))) (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) 1)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 662 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 663 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2))))) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (- (+ a 1) (* a a))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2))))) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (- (+ a 1) (* a a))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 664 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (pow a 4) 81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (* (- (pow a 4) 81) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (* a a) 9))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 665 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 3))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ a -3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) 3))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* 2 (* a a)) (* b b))) (* (+ a -3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 666 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (* (* (+ (pow a 3) 1) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ a -3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ -81 (pow a 4)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a))))))) (* (* (+ (pow a 3) 1) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ a -3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 667 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (- (pow a 4) 81) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 668 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))))) (* (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ -9 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))))) (* (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ -9 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 669 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (- (pow a 4) 81) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* 2 (* a a)))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 670 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 4) 81)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) -9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 4) 81)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) -9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 671 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -81 (pow a 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b)))) (* 4 (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -81 (pow a 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b)))) (* 4 (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* 2 b))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 672 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (pow a 4) -81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a))))) (* 4 (+ a 3)))) (* (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1)) (* (* (+ (pow a 4) -81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a))))) (* 4 (+ a 3)))) (* (* (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* 2 b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 673 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -81 (pow a 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -81 (pow a 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 674 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* (+ a 3) 3) (* a a)) (+ (pow a 3) 1)) (* (* (- (pow a 4) 81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 675 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 676 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 677 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 1)) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 1)) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 678 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 679 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 680 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 681 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ -9 (* a a)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ -9 (* a a)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 682 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ -9 (* a a)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 683 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (+ (* 3 (+ a 3)) (* a a))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 684 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4)) (+ (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))))) (* (+ (* (* (* a a) (* (* b 2) b)) (- (* (* a a) (* (* b 2) b)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4)) (+ (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))))) (* (+ (* (* (* a a) (* (* b 2) b)) (- (* (* a a) (* (* b 2) b)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 685 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (* a a) 9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (+ a 3))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (* a a) 9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (+ a 3))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 686 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (+ a 3) (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (+ a 3) (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 687 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 688 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 689 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) (- (+ a 1) (* a a)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) (- (+ a 1) (* a a)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 690 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (+ (- (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (* (+ -3 a) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (+ (- (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (* (+ -3 a) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 691 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) 3)) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* a a) (* (* b 2) b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a a) (* (* b 2) b)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) 3)) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* a a) (* (* b 2) b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a a) (* (* b 2) b)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 692 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (+ a 1) (* a a)) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (+ a 1) (* a a)) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 693 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 694 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 695 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 696 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 697 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ (* (+ a 3) 3) (* a a))))) (* (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ (* (+ a 3) 3) (* a a))))) (* (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 698 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (+ a 3)))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (+ a 3)))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 699 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 700 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (* (+ -3 a) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (* (+ -3 a) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 701 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 702 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) 4))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) 4))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ a 3) 3) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 703 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 1)) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) 4)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 1)) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) 4)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 704 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (- (* a a) 9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (- (* a a) 9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 705 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1)) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1)) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 706 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 707 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (- (* a a) 9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) 4)) (- (+ a 1) (* a a))) (* (+ a 3) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (- (* a a) 9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) 4)) (- (+ a 1) (* a a))) (* (+ a 3) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 708 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* b 2) b)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* b 2) b)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* b 2) b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* b 2) b)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* b 2) b)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* b 2) b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 709 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (+ (* (+ a 3) 3) (* a a))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (+ (* (+ a 3) 3) (* a a))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 710 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a)))) 4)) (+ (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a)))) 4)) (+ (+ (* 3 (+ a 3)) (* a a)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 711 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ (* a a) -9)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (+ a 3))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ (* a a) -9)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (+ a 3))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 712 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (+ (* (* (+ a 3) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ a 3))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (+ (* (* (+ a 3) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ a 3))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 713 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 714 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 715 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a a) 2))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a a) 2))) 4))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (- (+ a 1) (* a a)))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a a) 2))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a a) 2))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a a) 2))) 4))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (- (+ a 1) (* a a)))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a a) 2))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 716 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 717 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 718 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1)) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1)) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 719 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) 4)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) 4)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 720 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 721 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (* a a) -9) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 722 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ (* a a) -9)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ (* a a) -9)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 723 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 724 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))))) (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2))) (* 4 (+ a 3)))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))))) (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2))) (* 4 (+ a 3)))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 725 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 726 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) -9) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 727 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) 3)) (* (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) 3)) (* (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 728 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* b 2)) (* a a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* b 2)) (* a a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 729 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))) (+ a 3))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))) (+ a 3))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 730 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (- 1 (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (- 1 (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 731 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 3)) (* (+ (* (- (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 3)) (* (+ (* (- (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 732 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 733 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (+ (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ a 3) (- (+ a 1) (* a a))) (+ (+ (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 734 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b))))))) (* (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 735 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) 3))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* b (* b 2)) (* a a)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b (* b 2)) (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* a a) (* (+ a 3) 3))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) 3))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* b (* b 2)) (* a a)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b (* b 2)) (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 736 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 737 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (+ -9 (* a a)) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ a 3)) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (+ (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (+ -9 (* a a)) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ a 3)) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (+ (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 738 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (+ (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (+ (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 739 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 740 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 741 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (- (+ a 1) (* a a)) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (- (+ a 1) (* a a)) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 742 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (- (+ a 1) (* a a)))) (- (+ a 1) (* a a))) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (- (+ a 1) (* a a)))) (- (+ a 1) (* a a))) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 743 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b b) (* (* 2 a) a))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (- a 3)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b b) (* (* 2 a) a))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (- a 3)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 744 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))) (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))) (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 745 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))))) (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 746 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (- (* a a) 9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (- (* a a) 9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 747 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 748 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* (* a a) 2))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* (* a a) 2))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 749 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 750 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (* a a) 9)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b 2) b) (* a a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (* a a) 9)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b 2) b) (* a a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 751 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))))) (* (* (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))))) (* (* (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 752 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 753 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 3)) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* b b)) (* a a))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 3)) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* b b)) (* a a))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 754 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 755 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) 4) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))))) (* (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) 4) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))))) (* (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 756 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 757 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) 4) (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (- (+ a 1) (* a a))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (+ (* a a) (* (+ a 3) 3)))) (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) 4) (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (- (+ a 1) (* a a))) (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (+ (* a a) (* (+ a 3) 3)))) (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 758 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) 4) (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) 4) (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 759 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (+ (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (- 1 (* (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (+ (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (- 1 (* (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 760 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))))) (* (- 1 (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b (* b 2)) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))))) (* (- 1 (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b (* b 2)) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 761 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* b b)) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* b b)) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 762 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 763 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a))))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (+ a 3)) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a))))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (+ a 3)) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 764 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -9 (* a a)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ a 3))) (+ a 3))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ -9 (* a a)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ a 3))) (+ a 3))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 765 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (* (+ (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (* (+ (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 766 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (+ (pow a 3) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 767 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (- (+ a 1) (* a a))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* b b)) (* a a)))) (* (+ -3 a) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (- (+ a 1) (* a a))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))))) (* (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* b b)) (* a a)))) (* (+ -3 a) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 768 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 769 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (* (- a 3) (+ (+ a 1) (* a a))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (* (- a 3) (+ (+ a 1) (* a a))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 770 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 (* b b)) (* a a))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 (* b b)) (* a a))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 771 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) 4) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (pow a 3) 1)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 772 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* 4 (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* 4 (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 773 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- (+ a 1) (* a a))) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (* (+ a 3) 3)) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 774 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9))))) (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b 2) b) (* a a))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9))))) (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b 2) b) (* a a))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 775 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* 2 a) a) (* b b))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 776 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (+ a 3)))) (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3))))) (* (- (* a a) 9) (+ (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (+ a 3)))) (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2))) (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3))))) (* (- (* a a) 9) (+ (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 777 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) -9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)) (* (* (* (- (+ a 1) (* a a)) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 778 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ a -3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (- (+ a 1) (* a a)) (+ (pow a 3) 1))) (* (+ a -3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 779 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4) (* (+ (* (+ a 3) 3) (* a a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 1)))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1)) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4) (* (+ (* (+ a 3) 3) (* a a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 1)))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1)) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 780 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 781 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 782 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (pow a 3) 1))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (pow a 3) 1))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 783 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 1)) (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)))) (* (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 1)) (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)))) (* (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 784 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))) (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 785 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 786 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 787 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) 3) (* a a)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 788 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (pow a 3) 1) (* (+ (* (+ a 3) 3) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (+ (* (+ a 3) 3) (* a a)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (+ a 3) 3) (* a a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (pow a 3) 1) (* (+ (* (+ a 3) 3) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 789 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ (pow a 4) (* a -27)) a) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (+ (pow a 4) (* a -27)) a) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 790 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ a 3))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (pow a 3) 1)) (+ (* 3 (+ a 3)) (* a a))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ a 3))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (pow a 3) 1)) (+ (* 3 (+ a 3)) (* a a))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 791 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1)))) (* (- 1 (pow (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (pow a 3) 1)) (+ (* (+ a 3) 3) (* a a))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1)))) (* (- 1 (pow (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (pow a 3) 1)) (+ (* (+ a 3) 3) (* a a))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 792 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (pow a 3) 1))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (pow a 3) 1))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 793 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (pow a 3) 1))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (pow a 3) 1))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 794 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow a 4) (* a -27)) a) (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow b 4) (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow a 4) (* a -27)) a) (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow b 4) (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 795 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 3)) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 a) a) (* b b)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (pow a 3) 1)) (+ (* (+ a 3) 3) (* a a))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 3)) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 a) a) (* b b)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (pow a 3) 1)) (+ (* (+ a 3) 3) (* a a))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 796 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (* a a) (+ a 1)) (- a 3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ (* a a) (+ a 1)) (- a 3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 797 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ (pow b 4) 1)) 3)) 4) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 798 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 799 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 4) (* a -27)) a)) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1)) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1))))) (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -27 (pow a 3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 4) (* a -27)) a)) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1)) (+ (* 3 (+ a 3)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1))))) (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -27 (pow a 3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 800 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1)) (+ (* 3 (+ a 3)) (* a a))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1)) (+ (* 3 (+ a 3)) (* a a))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 801 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) (pow a 4)) 1))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) (pow a 4)) 1))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 802 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- (pow a 3) 27) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ a 3)))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- (pow a 3) 27) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ a 3)))) (* (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 803 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (pow a 4) (* a -27)) a) (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (pow a 4) (* a -27)) a) (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 804 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ -3 a) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (+ -3 a) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 805 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 806 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (+ a 3) 3) (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 3) 3) (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) 4)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (+ a 3) 3) (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 3) 3) (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) 4)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 807 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* a -27)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 808 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) 4))) (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) 4))) (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* 2 a) a) (* b b))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 809 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 1)) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (+ (pow a 3) -27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 1)) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (+ (pow a 3) -27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 810 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 811 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 812 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) 4)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) 4)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 813 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) 4))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) 4))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 814 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) 4))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ a 3) 3) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) 4))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (+ a 3) 3) (* a a))) (+ (* (+ a 3) 3) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 815 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* 3 (+ a 3)) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 816 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2)))) 4)) (+ (+ a 3) (* (* (+ a 3) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2)))) 4)) (+ (+ a 3) (* (* (+ a 3) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 817 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) 4))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 1))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) 4))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 1))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (pow a 3) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 818 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) 4))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (+ (* a a) (+ a 1))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) 4))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 819 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (- (+ a 1) (* a a)))) (* (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (- (+ a 1) (* a a)))) (* (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 820 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))))) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))))) (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 821 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2)))) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) 3)) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (+ -3 a) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2)))) 4)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) 3)) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (+ -3 a) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 822 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* 4 (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (+ -3 a)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* 4 (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (+ -3 a)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 823 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))))) (* (+ (* (+ a 3) 3) (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))))) (* (+ (* (+ a 3) 3) (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 824 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* -27 a)) a)) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (* (+ (pow a 3) 1) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 825 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a))))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (+ (* (+ a 3) 3) (* a a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (pow a 3) 1))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 826 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (pow a 4) (* a -27)) a)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* 3 (+ a 3)) (* a a)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (pow a 3) 1))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 827 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* (+ a 3) 3) (* a a)))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 828 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (+ (pow a 4) (* a -27)) a)) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (* 4 (+ a 3)))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (+ (pow a 4) (* a -27)) a)) (* (* (* (* b b) (+ (* a a) (+ a 1))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (* 4 (+ a 3)))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 829 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* (+ a 3) 3) (* a a)))))) (* (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (+ a 3) 3) (* a a))) (+ (pow a 3) 1)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 830 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* a (+ (pow a 4) (* -27 a)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (* a a) (+ a 1)) (* b b))) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (pow a 3) 1) (+ (* 3 (+ a 3)) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 831 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ (pow a 3) -27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (pow a 3) -27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ (pow a 3) -27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (pow a 3) -27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 832 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* a a) 2)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* a a) 2)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 833 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 834 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ -9 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ -9 (* a a)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 835 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 1))) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* 2 (* b b)) (* a a)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 1))) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* 2 (* b b)) (* a a)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 836 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 837 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 838 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* 2 (* b b)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ -9 (* a a)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* 2 (* b b)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ -9 (* a a)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 839 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b b) (* (* a a) 2)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* a a) (* (+ a 3) 3)) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (+ (* a a) (* (+ a 3) 3)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b b) (* (* a a) 2)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 840 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (- (* (* (* b 2) b) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b 2) b) (* a a))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (- (* (* (* b 2) b) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b 2) b) (* a a))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 841 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (+ a 3)) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (+ a 3)) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 842 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3)))))) (+ (+ a 3) (* (* (+ a 3) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3)))))) (+ (+ a 3) (* (* (+ a 3) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 843 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 844 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 1))) (* (* (+ (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 1))) (* (* (+ (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 845 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (- (+ a 1) (* a a))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ -3 a) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (- (+ a 1) (* a a))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (+ -3 a) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 846 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 1) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* 2 (* b b)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 1) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* 2 (* b b)) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 847 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 848 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- a 3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- a 3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 849 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3))))) (* (* (+ (* (* (* 2 (* b b)) (* a a)) (- (* (* 2 (* b b)) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 850 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* 4 (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (* 4 (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 851 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 852 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (* a a) 9) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 853 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b (* b 2)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* b 2)) (* a a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (+ -27 (pow a 3)) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b (* b 2)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* b 2)) (* a a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 854 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* a a) (+ a 1)) (- (* a a) 9)) (- 1 (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b 2) b) (* a a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* a a) (+ a 1)) (- (* a a) 9)) (- 1 (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b 2) b) (* a a))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 855 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))))) (* (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))))) (* (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 856 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -3 a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -3 a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 857 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) 4) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) 4) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* (+ a 3) 3)))) (+ (* (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 858 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* (+ a 3) 3)))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* (+ a 3) 3)))) (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 859 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ a 3) (+ (+ (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ a 3) (+ (+ (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 860 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b)))))) (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 861 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (+ (* a a) (* (+ a 3) 3))))) (+ (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (+ (* a a) (* (+ a 3) 3))))) (+ (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) (* (+ (* a a) (* (+ a 3) 3)) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 862 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a))))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))))) (* (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a))))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))))) (* (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 863 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1)))) 4) (* (+ a 3) (- (+ a 1) (* a a))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (* (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (+ (pow b 4) 1)))) 4) (* (+ a 3) (- (+ a 1) (* a a))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (* (* (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 864 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))))))) (* (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 865 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* a a) (* (+ a 3) 3)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))))))) (* (* (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* a a) (* (+ a 3) 3)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))) (* (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))))))) (* (* (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 866 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (* a a) (* (+ a 3) 3))))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* (+ a 3) 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (* a a) (* (+ a 3) 3))))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 867 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (* (+ a 3) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a))) 4)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3))))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ a 3) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a))) 4)) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3))))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 868 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (+ (* (* (+ a 3) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (+ a 3))) (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1)))) (* (- (* a a) 9) (+ (* a a) (+ a 1)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))))) (+ (* (* (+ a 3) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (+ a 3))) (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* a a) 9) (+ (pow a 3) 1)))) (* (- (* a a) 9) (+ (* a a) (+ a 1)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 869 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 870 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 871 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))) (- (+ a 1) (* a a))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4) (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)))) (- (+ a 1) (* a a))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 872 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 1) (- (+ a 1) (* a a)))) (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1)))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* (+ a 3) 3)) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) 1) (- (+ a 1) (* a a)))) (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1)))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 873 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))))) (* (* (* (- a 3) (+ (* a a) (+ a 1))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) 4) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))))) (* (* (* (- a 3) (+ (* a a) (+ a 1))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 874 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* (+ a 3) 3))))) (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4)) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* (+ a 3) 3))))) (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) 4)) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 875 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* (+ a 3) 3))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4)) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* (+ a 3) 3))) (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b)))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4)) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 876 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a))))) 4))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a))))) 4))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 877 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (* (* (* 2 a) a) (* b b)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (- (pow a 3) 27) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 878 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* b 2) (* a a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (* a a) (* 3 (+ a 3))) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* b 2) (* a a))) (* b (* (* b 2) (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* b 2) (* a a)))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))) (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 879 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (+ (* a a) (* (+ a 3) 3)))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (* (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* b b)) (* a a))))) (- 1 (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (+ (* a a) (* (+ a 3) 3)))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* 4 (+ (* a a) (* (+ a 3) 3))))) (* (* (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)) (* (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 (* b b)) (* a a))))) (- 1 (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 880 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) -9) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* a a) (* 3 (+ a 3))) (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2)))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* b 2))) (* (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* a a) -9) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 881 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (pow a 3) 1) (* b b))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (* (+ a 3) 3)) (* (+ (* a a) 9) (+ (pow a 3) 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 882 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (- (* a a) -9)) (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (+ (* a a) (* (+ a 3) 3)))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b 2) b) (* a a))) (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) 9) (* a a)) (* (- (pow a 3) 27) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* (+ (pow a 3) 1) (* b b)) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (+ (* a a) (* (+ a 3) 3)))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b 2) b) (* a a)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b 2) b) (* a a))) (* (* (+ (* a a) 9) (+ (pow a 3) 1)) (+ (* a a) (* (+ a 3) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (pow a 3))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 883 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (316 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 884 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (- (+ (pow a 4) 81) (* (* a a) -9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* a a) -9)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (- (+ (pow a 4) 81) (* (* a a) -9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* a a) -9)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 885 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) 2) (* b b))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (pow (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) 3))) (+ (* a a) -9)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) 2) (* b b))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (pow (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) 3))) (+ (* a a) -9)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 886 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) 2) (* b b))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (+ (* a a) -9)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* a a) 2) (* b b))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (+ (* a a) -9)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 887 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (+ (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3)))) (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (+ (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3)))) (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 888 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))))) (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (pow a 3) -27))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))))) (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (pow a 3) -27))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 889 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (- (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 890 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 891 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1))))) (+ (+ a 1) (* a a))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 3)) (- (pow a 3) 27)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1))))) (+ (+ a 1) (* a a))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 3)) (- (pow a 3) 27)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 892 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* (* a a) 2)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (+ (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* 3 (+ a 3)) (* a a))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* (* a a) 2)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 893 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (- (+ (pow a 4) 81) (* (* a a) -9)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ a 3)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* (* a a) -9))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* 2 b) (* a a))))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (- (+ (pow a 4) 81) (* (* a a) -9)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ a 3)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* (* a a) -9))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* 2 b) (* a a))))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 894 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ a 3))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (* (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) (* b b)) 2)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ a 3))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (* (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) (* b b)) 2)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 895 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 896 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (+ (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ a 3)) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (+ (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ a 3)) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 897 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (+ (pow a 4) 81) (* -9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (- (+ a 1) (* a a))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* -9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -3 a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (+ (pow a 4) 81) (* -9 (* a a))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (- (+ a 1) (* a a))))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* -9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -3 a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 898 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a)))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) (* (+ a -3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (pow (+ 1 (+ (pow a 4) (pow b 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a)))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) (* (+ a -3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 899 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* 4 (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ a 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (+ (+ a 1) (* a a)) (+ -3 a)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* 4 (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ a 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (+ (+ a 1) (* a a)) (+ -3 a)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 900 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))))) (* (* (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* 2 b) (* a a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (- a 3) (+ (+ a 1) (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))))) (* (* (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* 2 b) (* a a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (- a 3) (+ (+ a 1) (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 901 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 902 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ a 3))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)) (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ a 3))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)) (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 903 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (* (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3)) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (* (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3)) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 904 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (- (* a a) 9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (- (* a a) 9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 905 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* 3 (+ a 3)) (* a a))))) (* (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* (* a a) 9)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* 3 (+ a 3)) (* a a))))) (* (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* (* a a) 9)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 906 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* -9 (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* -9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (+ a 1) (* a a)) (+ (* a a) -9)) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* -9 (* a a)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* -9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (+ a 1) (* a a)) (+ (* a a) -9)) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 907 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 908 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (- (+ (pow a 4) 81) (* a (* a -9))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* a -9))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (- (+ (pow a 4) 81) (* a (* a -9))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* a -9))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 909 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ (pow a 4) 81) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 910 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 911 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2))))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* a a) 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 912 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b)))))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (+ a 3)) (+ a 3)))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b)))))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 913 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (* (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 914 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 915 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) 4)) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) 4)) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 916 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 1) (* (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (- (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 1) (* (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 917 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3))) (* (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* 3 (+ a 3)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) 3))) (* (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 918 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (+ (* 3 (+ a 3)) (* a a)))) (* (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 919 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) 4)) (+ a 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) 4)) (+ a 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 920 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ a 3) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ a 3)) (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2))))) (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (+ a 1) (* a a)) (+ -9 (* a a))) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ a 3) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ a 3)) (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2))))) (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (+ a 1) (* a a)) (+ -9 (* a a))) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 921 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))))) (+ (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))))) (+ (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* 2 b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 922 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 923 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2))))) (- (+ a 1) (* a a))) (+ (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2))))) (- (+ a 1) (* a a))) (+ (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 924 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) 4)) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (- (+ a 1) (* a a))) (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) 4)) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (- (+ a 1) (* a a))) (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 925 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (* 4 (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))))) (* (* (* (- a 3) (+ (+ a 1) (* a a))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (+ a 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b))))) (* 4 (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b)))))))) (* (* (* (- a 3) (+ (+ a 1) (* a a))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (+ a 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 926 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1) (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)))) (* (- a 3) (+ (+ a 1) (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1) (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)))) (+ (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)))) (* (- a 3) (+ (+ a 1) (* a a)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 927 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (+ a 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* 3 (+ a 3)) (* a a)))))) (* (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (+ a 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 928 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (- (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (- (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 929 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 930 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ a 3))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (- (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ a 3))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 931 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (+ (* 3 (+ a 3)) (* a a))))) (* (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (+ (* 3 (+ a 3)) (* a a))))) (* (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 932 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* 4 (+ a 3))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) 9)) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* 4 (+ a 3))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) 9)) (* (* (+ a 3) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 933 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (+ a 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (+ a -3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (* (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (+ a 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))) (+ a -3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 934 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -729 (* (pow a 3) (pow a 3)))))) (* (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ a 3) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 935 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (86 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 936 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 937 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 938 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 939 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ 81 (pow a 4)) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ 81 (pow a 4)) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 940 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 941 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 942 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 943 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (+ (* a a) (* 3 (+ a 3)))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 944 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (+ (* a a) (* 3 (+ a 3))))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (+ (* a a) (* 3 (+ a 3))))) (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 945 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* b (* (* b 2) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* b 2) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* b (* (* b 2) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* b 2) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 946 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (+ (+ a 3) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (+ (+ a 3) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 947 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 1)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 1)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 948 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1)) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1)) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 949 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (- (+ a 1) (* a a))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 950 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 951 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 952 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (+ -3 a) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (+ -3 a) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 953 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* 4 (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (+ (* (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (pow a 3) -27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* 4 (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (+ (* (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (pow a 3) -27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 954 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 955 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 956 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 957 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 958 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3)))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* b 2) (* a a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ a 3)))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* b 2) (* a a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 959 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 960 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 961 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 962 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 3) -27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 3) -27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 963 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))) (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* 4 (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))) (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 964 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 965 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 966 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 967 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 968 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 969 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 970 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 971 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (* 4 (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (* 4 (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 972 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ a 3)) (+ a 3))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ a 3)) (+ a 3))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 973 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 974 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1)) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1)) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 975 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (- (+ a 1) (* a a))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (- (+ a 1) (* a a))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 976 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (- (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (- (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 977 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 978 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (+ (+ a 1) (* a a)) (+ a -3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (+ (+ a 1) (* a a)) (+ a -3)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 979 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* (* a -9) a)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ 81 (pow a 4)) (* (* a -9) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* (* a -9) a)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ 81 (pow a 4)) (* (* a -9) a)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 980 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 981 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (* (* b b) (* (* 2 a) a)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (+ 81 (pow a 4)) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 982 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* a (* (* b b) (* 2 a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 983 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 984 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 985 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 986 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ -3 a) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -729 (* (pow a 3) (pow a 3))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ -3 a) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 987 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))))) (* (- 1 (* (pow (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))))) (* (- 1 (* (pow (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 988 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 989 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* b 2) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* b 2) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 990 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4)))))) (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (* (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4)))))) (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))))) (* (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 991 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1))) (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1))) (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 992 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) -9) (* a a))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) -9) (* a a))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 993 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) -9) (* a a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) -9) (* a a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) -9) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 994 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 995 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) -9) (* a a)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) -9) (* a a)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 996 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (+ (* a a) (* 3 (+ a 3)))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 997 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ 9 (* a a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ 9 (* a a)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 998 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (+ a 3) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (+ a 3)))) (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (+ (+ a 3) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (+ a 3)))) (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 999 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1000 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* (* a a) 2)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1)))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* (* a a) 2)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1001 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (- (+ a 1) (* a a))) (+ (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (- (+ a 1) (* a a))) (+ (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1002 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) b) (* b 2)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))) (- (+ a 1) (* a a))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* a a) b) (* b 2)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1003 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- a 3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- a 3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1004 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ -3 a) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ -3 a) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1005 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1006 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ -9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a)))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ -9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a)))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1007 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (- (* a a) 9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a)))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- (* a a) 9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a)))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1008 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (+ 9 (* a a)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -9 (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (+ 9 (* a a)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -9 (* a a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1009 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1010 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3))) (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ -9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ a 3))) (+ (* (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ -9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 1011 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (* a a) 9) (* a a)) (- 1 (pow (pow a 3) 3))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (* a a) 9) (* a a)) (- 1 (pow (pow a 3) 3))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2)))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1012 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (+ (* (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* b 2))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (+ (* (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) b) (* b 2))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (- a 3) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1013 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1014 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4)))))) (* 4 (+ (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4)))))) (* 4 (+ (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1015 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))))) (* (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))))) (* (- 1 (pow (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1016 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ a 3) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ a 3) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1017 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- (pow a 3) 27) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1018 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* 4 (+ (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* 4 (+ (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a))) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1019 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))) (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))) (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1020 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) -9) (* a a)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (* (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) -9) (* a a)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1021 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* a a) (- (* a a) 9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* a a) (- (* a a) 9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))) (* (* 4 (- (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1022 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (* a a) (* 3 (+ a 3))))) (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (* a a) (* 3 (+ a 3))))) (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1023 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (+ a 3)) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ a 3) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (+ a 3)) (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1024 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (+ a 3)) (+ a 3))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (+ a 3)) (+ a 3))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1025 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))))) (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) -9) (* a a)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))))) (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) -9) (* a a)) (- 1 (pow (pow a 3) 3))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) 2) (* b b))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1026 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1027 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ a -3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ a -3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1028 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (pow a 4) -81) (* b b)))))) (* 4 (+ (- (+ a 1) (* a a)) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (pow a 4) -81) (* b b)))))) (* 4 (+ (- (+ a 1) (* a a)) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (- (+ a 1) (* a a)))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1029 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) -9) (* a a)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ a -3) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) -9) (* a a)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ a -3) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1030 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) 4))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (+ (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) 4))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1031 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1032 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (pow a 4) -81) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (pow a 4) -81) (* b b)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1033 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ -9 (* a a)) (* a a)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ -9 (* a a)) (* a a)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 4) -81)))) (* (- (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* 4 (* (+ (* 3 (+ a 3)) (* a a)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1034 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- (* a a) 9) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (* (+ (pow a 4) -81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- (* a a) 9) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1035 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (pow a 4) 81) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (pow a 4) 81) (* b b)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1036 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (pow a 4) -81) (* b b))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (pow a 4) -81) (* b b))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* a a) 2)) (* (* b b) (* (* a a) 2)))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 1037 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1038 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ 9 (* a a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b)))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ 9 (* a a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -81 (pow a 4))))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b)))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1039 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9)))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* a a) (* (* b 2) b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a a) (* (* b 2) b)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)))) (- 1 (* (pow (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9)))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* a a) (* (* b 2) b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* a a) (* (* b 2) b)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)))) (- 1 (* (pow (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1040 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1))) (* (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1))) (* (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1041 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3))))) (* (- 1 (pow (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3))))) (* (- 1 (pow (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1042 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1043 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ (pow a 4) -81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ (pow a 4) -81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1044 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* a a))) (- 1 (pow (pow a 3) 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* a a))) (- 1 (pow (pow a 3) 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1045 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* a a)) (* (- (* a a) 9) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* a a)) (* (- (* a a) 9) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1046 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1047 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (* a a) 9) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (- (* a a) 9) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1048 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* a a) (- (* a a) 9)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* a a) (- (* a a) 9)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1049 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -9 (* a a)) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ a 3)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* a a)) (* (+ -9 (* a a)) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ a 3)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1050 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ a 3))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ a 3))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1051 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1052 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1)) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (+ (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1)) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4))) (* (* (+ (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1053 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* a a) (- (* a a) 9)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* a a) (- (* a a) 9)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1054 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (- (+ a 1) (* a a)) (* (* (- (+ a 1) (* a a)) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (- (+ a 1) (* a a)) (* (* (- (+ a 1) (* a a)) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1055 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (* (- a 3) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (* (- a 3) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1056 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1057 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ a 1) (* a a)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ a 1) (* a a)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1058 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3)))) (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (pow a 4) 81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3)))) (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1059 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1060 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))) (* (* (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))) (* (* (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1061 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* b 2) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* b 2) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1062 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ a 3))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) -9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ a 3))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) -9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 1063 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ (pow a 4) -81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ (pow a 4) -81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1064 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -3 a)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* 2 a) a) (* b b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -3 a)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1065 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 1))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (- (* a a) 9))))) (* (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 1))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (- (* a a) 9))))) (* (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1066 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow a 4) -81) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) 4))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow a 4) -81) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) 4))) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1067 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b)))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (+ (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (pow (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ 9 (* a a)) (- (+ a 1) (* a a)))))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b)))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (+ (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (pow (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 9 (* a a)) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1068 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -81 (pow a 4)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ -9 (* a a))))) (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* a a) 2))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* a a) 2))) 4))) (+ (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* a a) 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -81 (pow a 4)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ -9 (* a a))))) (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* a a) 2))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* a a) 2))) 4))) (+ (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* a a) 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1069 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (- (pow a 4) 81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (+ -9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))))) (+ (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (- (pow a 4) 81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (+ -9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))))) (+ (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (pow (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1070 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1071 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -81 (pow a 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (- (* a a) 9)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) 4))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -81 (pow a 4))))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (- (* a a) 9)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) 4))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1072 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ a 3) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ a 3) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1073 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) 4)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* a a) (+ (* a a) -9)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) 4)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* a a) (+ (* a a) -9)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1074 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3)))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))))) (* (* (* (+ a 3) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3)))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))))) (* (* (* (+ a 3) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1075 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* a a) (+ (* a a) -9)) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) (+ a 3)) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))) (* (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* a a) (+ (* a a) -9)) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a))))) (+ a 3)) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))) (* (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1076 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3)))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))))) (+ (+ a 3) (* (* (+ a 3) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ a 3) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3)))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))))) (+ (+ a 3) (* (* (+ a 3) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ a 3) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1077 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* a a) (- (* a a) 9)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) 4))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) (* (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ (pow a 4) -81) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* a a) (- (* a a) 9)) (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) 4))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1078 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (+ -81 (pow a 4)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (+ -81 (pow a 4)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1079 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) 4) (- (+ a 1) (* a a))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* (* (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a))))) 4) (- (+ a 1) (* a a))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* a a) (+ -9 (* a a))) (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3)))))) (* (* (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ a -3)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1080 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9)))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4))) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9)))) (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4))) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1081 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (- (* a a) 9)))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (* (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (- (* a a) 9)))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a))))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (* (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1082 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1) (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ -9 (* a a)))))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (- (+ a 1) (* a a))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ a -3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1) (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ -9 (* a a)))))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (- (+ a 1) (* a a))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ a -3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1083 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* b 2))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* b 2))) 4))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* b 2))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (* (+ (pow a 4) -81) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* b 2))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* b 2))) 4))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) b) (* b 2))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1084 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))) (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1085 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ (* a a) 9) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ a 1) (* a a))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1086 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ -81 (pow a 4)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (* (+ -81 (pow a 4)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (* (+ (* a a) 9) (- (+ a 1) (* a a))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 9) (- (+ a 1) (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (- (* a a) 9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1087 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (- (pow a 4) 81) (* b b))) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) 9) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1088 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (- (* a a) 9)))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (+ a 3)))) (* (* (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (* (+ -81 (pow a 4)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (- (* a a) 9)))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (+ a 3)))) (* (* (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (- (* a a) 9) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 1089 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9)))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9)))) (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1090 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -3 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (+ -81 (pow a 4)) (* b b)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a a)) (- (+ a 1) (* a a))) (- 1 (pow (pow a 3) 3))) (* (* a a) (+ (* a a) -9))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -3 a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (- (* a a) -9) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1091 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) 3))) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) 3))) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1092 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1093 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9))))) (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9))))) (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1094 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* b (* (* b 2) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* b (* (* b 2) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1095 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1)))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1)))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1096 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1097 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1098 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1099 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1100 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* b 2)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* b 2)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1101 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ a 3)) (+ (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (+ a 3)) (+ (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 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4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1102 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (+ a 3)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (+ a 3)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1103 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1104 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1105 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (pow (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) 1))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (pow (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1106 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1107 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1108 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -9 (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ a -3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1109 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1110 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* b 2)) (* a a)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* b 2)) (* a a)))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1111 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (* (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ 1 (pow a 4)) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1112 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1113 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* b 2) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* b 2) (* a a))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1114 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ a 3)))) (* (* (+ (* (- (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ a 3)))) (* (* (+ (* (- (* (* b (* b 2)) (* a a)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 1115 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1116 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ -3 a) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ -3 a) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1117 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1118 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1119 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9))))) (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9))))) (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1120 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1121 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (pow a 3) -27))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (pow a 3) -27))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1122 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* 4 (+ (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 3) -27) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* 4 (+ (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 3) -27) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1123 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1124 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1)) (* (* (* 4 (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1)) (* (* (* 4 (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1125 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27)))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27)))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1126 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (* 3 (+ a 3))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (* 3 (+ a 3))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* b b) (* (* a a) 2))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1127 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b (* b 2)) (* a a)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (+ (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) 1))) (+ a 3)) (* (- 1 (* (pow (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b (* b 2)) (* a a)))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (* b b) (+ -9 (* a a))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (+ (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4)))) 1))) (+ a 3)) (* (- 1 (* (pow (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1128 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ a 3) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) 4)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ a 3) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) 4)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (- (* a a) 9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1129 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (* (* b b) (* (* 2 a) a)) (+ 1 (+ (pow a 4) (pow b 4))))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (* (* b b) (* (* 2 a) a)) (+ 1 (+ (pow a 4) (pow b 4))))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* 2 a) a)))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1130 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* 4 (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) 1) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* 4 (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) 1) (pow b 4)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* a a) 2))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1131 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (+ (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (- (+ a 1) (* a a)))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (+ (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (- (+ a 1) (* a a)))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1132 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1133 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (+ -3 a)))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (+ -3 a)))) (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1134 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (* 4 (+ (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4))))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (* 4 (+ (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow a 4) (pow b 4))))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (- a 3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1135 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (+ (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) 4))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (+ (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) 4))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1136 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1137 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 a) a) (* b b)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ -27 (pow a 3)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 a) a) (* b b)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* 2 a) a) (* b b))) (* (+ -27 (pow a 3)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1138 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow b 4) 1) (pow a 4))) (- (+ (+ (pow b 4) 1) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* a (* (* b b) (* 2 a))) (+ (+ (pow b 4) 1) (pow a 4))) (- (+ (+ (pow b 4) 1) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1139 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* a a) b) (* b 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* a a) b) (* b 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1140 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) 1) (pow a 4)))) (* 4 (+ a 3)))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ -9 (* a a)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) 1) (pow a 4)))) (* 4 (+ a 3)))) (* (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 1141 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- a 3)))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1142 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow b 4) 1) (pow a 4)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow b 4) 1) (pow a 4)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1143 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ -9 (* a a))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (+ (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ -9 (* a a))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (+ (+ 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1144 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1145 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))) (* (* a a) (+ -9 (* a a)))))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a)))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))) (* (* a a) (+ -9 (* a a)))))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1146 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1147 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ -9 (* a a))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (- (+ a 1) (* a a)))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ -9 (* a a))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (- (+ a 1) (* a a)))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1148 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (- (* a a) 9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a)))))) (+ (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (pow a 3) -27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (- (* a a) 9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a)))))) (+ (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (pow a 3) -27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1149 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (- (* a a) 9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a)))))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (- (* a a) 9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a)))))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1150 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1151 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1)) (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1)) (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1152 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1153 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ a 3) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))))) (* (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ a 3) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))))) (* (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1154 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ a 3)))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ a 3)))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1155 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3))))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1156 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (* a a) 9) (- 1 (pow (pow a 3) 3)))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (- (* a a) 9) (- 1 (pow (pow a 3) 3)))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1157 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (- (+ a 1) (* a a))))) (- (+ a 1) (* a a))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)) (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (- (+ a 1) (* a a))))) (- (+ a 1) (* a a))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)) (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1158 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (- (* (+ (- (+ a 1) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (+ a 1) (* a a))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ a -3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (- (+ a 1) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (+ a 1) (* a a))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ a -3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1159 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (- (* a a) 9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* (* b 2) b) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b 2) b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (+ a 1) (* a a)) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (- (* a a) 9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* (* b 2) b) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b 2) b) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (+ a 1) (* a a)) (- a 3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1160 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ a -3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (* a a) -9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ a -3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1161 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4)) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 a)) a))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a)))))) (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4)) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 a)) a))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1162 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))) (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* 4 (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1163 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)))) (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a)))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)))) (* (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1164 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (- (* a a) 9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3))) (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (- (* a a) 9) (* b b)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3))) (+ (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1165 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ a 3) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1166 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3)))) (* (* (* (+ (+ a 1) (* a a)) (+ -9 (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3)))) (* (* (* (+ (+ a 1) (* a a)) (+ -9 (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 1167 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3))))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))))) (* (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3))))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4)))))) (* (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1168 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (+ -9 (* a a)) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (+ -9 (* a a)) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (* (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (- (+ a 1) (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (+ (* (- (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1169 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) 4)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (+ (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3)))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) 4)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (+ (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1170 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (- (* a a) 9) (* b b)))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (- (* a a) 9) (* b b)))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9))))) (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1171 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (- (+ a 1) (* a a)))))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (- (+ a 1) (* a a)))))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1172 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b 2) b) (* a a))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -9 (* a a)) (- 1 (pow (pow a 3) 3)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) 1) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b 2) b) (* a a))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ -9 (* a a)) (- 1 (pow (pow a 3) 3)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) 1) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b 2) b) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1173 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) 4)) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) 4)) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1174 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (* a a) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))) (+ (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (* a a) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))) (+ (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1175 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) -9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))) (* (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) 4) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) -9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))) (* (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) 4) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1176 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ -9 (* a a)) (* b b)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (+ (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1177 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 1))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27))) (- 1 (pow (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 1))) (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27))) (- 1 (pow (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1178 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) 4)) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1179 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) (+ a 3)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))))) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) (+ a 3)) (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))))) (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a))))) (* (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1180 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ a 3))) (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ -9 (* a a))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (+ a 3))) (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ -9 (* a a))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (+ -9 (* a a)) (+ (+ a 1) (* a a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1181 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3))))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1182 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) 4)) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (- (+ a 1) (* a a)))))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) 4)) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (- (+ a 1) (* a a)))))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1183 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9)))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) (- (+ a 1) (* a a))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))) (* (* a a) (- (* a a) 9)))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) (- (+ a 1) (* a a))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1184 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (- (* (+ (* (- (+ a 1) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (- (+ a 1) (* a a))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (- (+ a 1) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (- (+ a 1) (* a a))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (- (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1185 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) 4)) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))))))) (* (* (* (+ a -3) (+ (+ a 1) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) 4)) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) -9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))))))) (* (* (* (+ a -3) (+ (+ a 1) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1186 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a))))) 4) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (* (* (+ (+ a 1) (* a a)) (+ a -3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a))))) 4) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ a 1) (* a a)))))) (* (* (* (+ (+ a 1) (* a a)) (+ a -3)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* 2 (* a a)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1187 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) -9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3))))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) -9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3))))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1188 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)) (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (- (* a a) 9) (* b b)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ a 3)) (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (- (* a a) 9) (* b b)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (- (* a a) 9))) (- 1 (pow (pow a 3) 3)))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1189 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (- (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (- (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1190 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))) (* (* a a) (+ (* a a) -9))))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (- 1 (pow (pow a 3) 3)) (- (+ a 1) (* a a))) (* (* a a) (+ (* a a) -9))))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1191 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (* a a) 9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (- (* a a) 9) (* b b)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (- (+ a 1) (* a a)))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1192 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) -9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) -9)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 1193 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* 4 (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a)))) (* (* (- (+ a 1) (* a a)) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1194 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (+ a 1) (* a a))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (* a a) -9) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (* (+ (* a a) -9) (* b b)))) (* (* (- (+ a 1) (* a a)) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (+ a 1) (* a a))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1195 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (84 enodes) * * [misc]simplify: iters left: 5 (320 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1196 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1197 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1198 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ a 3) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ a 3) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1199 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (312 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (- (+ a 1) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1)) (+ (* 3 (+ a 3)) (* a a)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (- (+ a 1) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2)))) 1)) (+ (* 3 (+ a 3)) (* a a)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* a a) 2))) 3))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* (* a a) 2)) (- (* (* b b) (* (* a a) 2)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1200 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (- (+ (pow a 4) 81) (* -9 (* a a))) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* -9 (* a a))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -27 (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (- (+ (pow a 4) 81) (* -9 (* a a))) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* -9 (* a a))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -27 (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1201 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* -9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ a 3) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* -9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ a 3) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1202 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))))) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1203 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* b 2)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* b 2)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1204 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1205 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ a 3))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* a (* (* b b) (* 2 a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3))) (+ a 3))) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* a (* (* b b) (* 2 a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1206 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ a 3) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ a 3) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1207 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) 1) (pow a 4)) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 3)) (* (+ (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) 1) (pow a 4)))) (* (+ (+ (pow b 4) 1) (pow a 4)) (+ (+ (pow b 4) 1) (pow a 4)))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) 1) (pow a 4)) 3))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 3)) (* (+ (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) 1) (pow a 4)))) (* (+ (+ (pow b 4) 1) (pow a 4)) (+ (+ (pow b 4) 1) (pow a 4)))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1208 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 1) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (- (+ 81 (pow a 4)) (* a (* a -9))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) 1) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (* (- (+ 81 (pow a 4)) (* a (* a -9))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1209 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -3 a) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (- (+ a 1) (* a a))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -3 a) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1210 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* b 2)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ a -3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* b 2)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (+ a -3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1211 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ a 3) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ a 1) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ a 3) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (+ a 1) (* a a)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1212 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ a 1) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ a 1) (* a a)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1213 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ (pow a 4) 81) (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) 2) (* b b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ (pow a 4) 81) (* (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1214 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ a 3) (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ a 3) (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1215 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1216 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1217 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow a 4) (pow b 4))) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (* (* (+ (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1218 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ a 3)))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (+ a 3)))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 1219 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ 81 (pow a 4)) (* a (* a -9)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ 81 (pow a 4)) (* a (* a -9)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1220 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* (* a -9) a))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* (* a -9) a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) (pow b 4)) 1) 3)) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* (* a -9) a))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* (* a -9) a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1221 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ a 3) (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (+ (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* 4 (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))))) (* (- 1 (* (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ a 3) (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1222 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (* (* 4 (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow b 4) 1) (pow a 4)))) (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (* (* 4 (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow b 4) 1) (pow a 4)))) (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1223 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ 81 (pow a 4)) (* a (* a -9))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2)))) 1)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* b 2))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ 81 (pow a 4)) (* a (* a -9))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1224 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (- 1 (pow (pow a 3) 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* a a) (+ (* a a) -9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1225 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* (* 4 (+ (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (* (* 4 (+ (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 1)))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* b 2) (* a a))))) 3)) (* (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1226 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (pow a 3) -27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (pow a 3) -27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1227 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (* (* b b) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))) (* (* (* 4 (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* a (* -9 a)))) (* (* (* (* b b) (+ (+ a 1) (* a a))) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))) (* (* (* 4 (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1228 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) 1)) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1229 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (+ (* a a) (* 3 (+ a 3))) (+ (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1230 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* b 2))) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1231 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a))) (+ a 3)) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (* (* 4 (+ (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a))) (+ a 3)) (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1232 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ a 3) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ a 3) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1233 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a))))) (+ (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) 3))) (* (* (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1234 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 1) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1235 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (- (+ a 1) (* a a)))) (* (* (* (+ a 3) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))) (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (+ (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (- (+ a 1) (* a a)))) (* (* (* (+ a 3) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ a -3))))) (- 1 (pow (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1236 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* 4 (+ (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* 4 (+ (* b (* (* b 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (- a 3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1237 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* (* 4 (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ -729 (* (pow a 3) (pow a 3))) (* (+ (+ a 1) (* a a)) (* b b))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (+ a 3)))))) (* (- 1 (* (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1238 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2))))) (* 4 (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (- (* (+ 1 (+ (pow a 4) (pow b 4))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (* a a) b) (* b 2)) (* (* (* a a) b) (* b 2))))) (* 4 (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) 1))) (* (- 1 (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow a 4) (pow b 4)))))) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1239 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (* (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* 3 (+ a 3)) (* a a)) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) 4))) (* (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1240 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (* (* 4 (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow b 4) 1) (pow a 4)))) (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (* (* 4 (+ (* (* b b) (* (* a a) 2)) (+ (+ (pow b 4) 1) (pow a 4)))) (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (* a a) 9)))) (- 1 (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1241 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (+ (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (pow a 3) 27) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* 3 (+ a 3)) (* a a)))))) (* (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow a 4) (pow b 4))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (- (pow a 3) 27) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1242 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))))) (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* a a) -9)))) (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1243 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1244 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (* 4 (+ a 3)))) (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))) (* 4 (+ a 3)))) (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 1245 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (* (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1246 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* (+ (+ a 1) (* a a)) (+ -729 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))))) (* (* (+ a 3) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (+ a -3) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1247 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))) (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* b (* (* b 2) (* a a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))) (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* b (* (* b 2) (* a a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1248 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (+ (* a a) 9))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) 1) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (- (* a a) 9)) (+ (* a a) 9))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) 1) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 (* a a)) (* b b)) (- (* (* 2 (* a a)) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1249 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (* (- 1 (pow (pow a 3) 3)) (+ 9 (* a a))) (* (* a a) (- (* a a) 9))))) (+ (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (* (- 1 (pow (pow a 3) 3)) (+ 9 (* a a))) (* (* a a) (- (* a a) 9))))) (+ (* (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1)) (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1250 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1251 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))) (+ (* (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1252 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* b b))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (+ (* a a) 9))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* b b))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (+ (* a a) 9))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1253 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ -81 (pow a 4))) (+ (* a a) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (+ 9 (* a a)))))) (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ 9 (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ -81 (pow a 4))) (+ (* a a) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ (* a a) -9)) (+ 9 (* a a)))))) (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ 9 (* a a)) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ (* a a) -9) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1254 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ -9 (* a a)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a)))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ -9 (* a a)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1255 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) (+ a 1)) (* (* b b) (- (pow a 4) 81)))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a)))))) (* (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) (+ a 1)) (* (* b b) (- (pow a 4) 81)))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a)))))) (* (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (+ (* a a) (+ a 1)) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1256 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (- (pow a 4) 81)) (+ (* a a) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ (* a a) 9))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* a a) 9) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (- (pow a 4) 81)) (+ (* a a) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ (* a a) 9))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* a a) 9) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1257 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (* b b) (+ (pow a 4) -81)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (+ a 3)) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)) (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (* b b) (+ (pow a 4) -81)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (+ a 3)) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)) (* (+ (* (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1258 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (+ a 3))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (pow a 4) 81))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ (* a a) 9)))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (+ a 3))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (pow a 4) 81))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ (* a a) 9)))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (+ (* a a) (+ a 1)) (+ -9 (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1259 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) (+ a 1)) (* (* b b) (- (pow a 4) 81)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a))))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) (+ a 1)) (* (* b b) (- (pow a 4) 81)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a))))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3))) (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow b 4)) (pow a 4))))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1260 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) 2) (* a a)))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (* (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* b b) 2) (* a a)))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- a 3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1261 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (- (+ a 1) (* a a)) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ -81 (pow a 4))) (+ (* a a) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* b (* (* b 2) (* a a))))) (* (* (+ 9 (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (- (+ a 1) (* a a)) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ -81 (pow a 4))) (+ (* a a) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* b (* (* b 2) (* a a))))) (* (* (+ 9 (* a a)) (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3))) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1262 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) (+ a 1)) (* (* b b) (- (pow a 4) 81)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -3 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (+ (* a a) (+ a 1)) (* (* b b) (- (pow a 4) 81)))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ 1 (+ (* (pow a 3) (pow a 3)) (pow a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -3 a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1263 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b)))) (* (* (* a a) (- (* a a) 9)) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b b) (* 2 (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (- a 3) (+ (* a a) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b)))) (* (* (* a a) (- (* a a) 9)) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b b) (* 2 (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (- a 3) (+ (* a a) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1264 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (- (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* b b))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ 9 (* a a))))))) (* (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ a 3) (+ 9 (* a a)))) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* b b))) (* (- 1 (pow (pow a 3) 3)) (* (* (* a a) (+ -9 (* a a))) (+ 9 (* a a))))))) (* (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (+ (* (pow a 3) (pow a 3)) (pow a 3)) 1) (* (+ a 3) (+ 9 (* a a)))) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1265 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) -81) (* a a)))) (* 4 (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) -81) (* a a)))) (* 4 (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1266 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (- (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) 4) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1267 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -81 (pow a 4)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (* (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -81 (pow a 4)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (* (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ 1 (pow b 4)) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1268 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (* b b) (+ (pow a 4) -81)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))) (* (- 1 (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b (* b 2)) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* b 2)) (* a a)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ a 3) (- (+ a 1) (* a a))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (* b b) (+ (pow a 4) -81)))) (* (* (* a a) (+ -9 (* a a))) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))) (* (- 1 (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b (* b 2)) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* b 2)) (* a a)))) (* (* (+ (* a a) 9) (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1269 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (pow a 4) -81)) (+ (* a a) (+ a 1)))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (* (* a a) (+ -9 (* a a)))))) (* (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ a 3) (+ (* a a) 9))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (pow a 4) -81)) (+ (* a a) (+ a 1)))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (* (* a a) (+ -9 (* a a)))))) (* (* (* (+ (+ (* (pow a 3) (pow a 3)) 1) (pow a 3)) (* (+ a 3) (+ (* a a) 9))) (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (+ (* a a) (+ a 1)) (- (pow a 3) 27))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1270 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -81 (pow a 4)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (- (* a a) 9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ a 3) (+ 9 (* a a)))) (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -81 (pow a 4)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (- (* a a) 9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ 1 (* (pow a 3) (pow a 3))) (pow a 3)) (* (+ a 3) (+ 9 (* a a)))) (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 1271 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (+ 9 (* a a))))) (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (+ 9 (* a a))))) (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1272 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))) (* (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ (pow b 4) (pow a 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (- (+ a 1) (* a a)))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (- (pow a 4) 81) (* (+ (* a a) (+ a 1)) (* b b)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))) (* (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) (* (pow a 3) (pow a 3))) 1)) (* (- a 3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1273 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a)))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (* (* a a) (+ (* a a) -9))))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a)))) 4) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (* (* a a) (+ (* a a) -9))))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1274 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a)))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (* (* a a) (+ (* a a) -9))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a)))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9)) (* (* a a) (+ (* a a) -9))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1275 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) -81) (* a a))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ a 3) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) -81) (* a a))))) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (+ a 3) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1276 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* b b))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* b b))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a))))) (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1277 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1278 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (* (* (+ (* a a) 9) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) 4)) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (* (* (+ (* a a) 9) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1279 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))) (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1)))) (* (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (* (* (* a a) (+ -9 (* a a))) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))) (+ (* (+ a 3) (- (+ a 1) (* a a))) (* (* (* (+ a 3) (- (+ a 1) (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1)))) (* (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (+ -9 (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1280 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ (pow a 4) -81))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ a 3) (- (+ a 1) (* a a))))) (* (+ a 3) (- (+ a 1) (* a a)))) (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (* a a) (+ a 1))) (+ (pow a 4) -81))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1281 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (+ (* a a) 9) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3)))))) (* (- 1 (pow (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (+ (* a a) 9) (* (* a a) (+ -9 (* a a)))) (- 1 (pow (pow a 3) 3)))))) (* (- 1 (pow (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (* (- (pow a 3) 27) (+ (* a a) (+ a 1))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1282 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a)))) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (+ (* a a) 9) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))))) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a)))) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (+ (* a a) 9) (* (* a a) (+ (* a a) -9))) (- 1 (pow (pow a 3) 3))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))))) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1283 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (- (* (+ a 3) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) 4)) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (+ (* a a) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (* (+ (* a a) (+ a 1)) (- (* a a) 9)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ a 3) (* (+ (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)) 4)) (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ -81 (pow a 4))) (+ (* a a) (+ a 1)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 3)) (* (* (+ (* a a) (+ a 1)) (- (* a a) 9)) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1284 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (- (* (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ a 3)))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9))))) (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ a 3)))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9))))) (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1285 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (+ -3 a) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1286 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (pow a 4) -81)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) 9) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) 4)) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (* (* b b) (+ (pow a 4) -81)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) 9) (* a a)) (* (+ (* a a) -9) (- 1 (pow (pow a 3) 3)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) 1) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1287 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (- (+ a 1) (* a a)) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))))) (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (* b b) (+ (pow a 4) -81)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) 3))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (- (+ a 1) (* a a)) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))))) (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a)))) 4) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (* b b) (+ (pow a 4) -81)))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9)))))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) 3))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b (* b 2)) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1288 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (+ (- (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (+ -81 (pow a 4)) (* a a))))) (+ (- (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ a -3) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1289 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (+ (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (* (+ (* a a) (+ a 1)) (- a 3))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (+ (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a)))))) (* (* (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (* (+ (* a a) (+ a 1)) (- a 3))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1290 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (* (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (pow (pow a 3) 3))) (+ (* a a) 9))) (+ 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1291 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a))) 4)) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) (+ a 1))) (- (pow a 4) 81))) (* (* (* a a) (- (* a a) 9)) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a))) 4)) (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) (+ a 1))) (- (pow a 4) 81))) (* (* (* a a) (- (* a a) 9)) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))) (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (+ -27 (pow a 3)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1292 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (- (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a)))))) (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9))) (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ a 3) (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) 4)) (+ (* (* (+ (* a a) (+ a 1)) (+ -81 (pow a 4))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a)))))) (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9))) (- 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1293 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))) (* (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ (* a a) (+ a 1)) (+ (pow a 4) -81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (- 1 (pow (pow a 3) 3)) (+ (* a a) 9))))) (* (* (* (* (+ (* a a) 9) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1294 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -81 (pow a 4)))) (* (* (+ 9 (* a a)) (* a a)) (* (+ -9 (* a a)) (- 1 (pow (pow a 3) 3))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1)) (+ a 3)) (* (* (* b b) (+ (* a a) (+ a 1))) (+ -81 (pow a 4)))) (* (* (+ 9 (* a a)) (* a a)) (* (+ -9 (* a a)) (- 1 (pow (pow a 3) 3))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b)))) (* 4 (* (+ a 3) (- (+ a 1) (* a a)))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ 9 (* a a)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1295 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (* b b) (+ (pow a 4) -81)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) -81) (* a a))))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (pow a 3)) (+ (pow a 3) 1))) (* (+ (* a a) (+ a 1)) (* (* b b) (+ (pow a 4) -81)))) (* (- 1 (pow (pow a 3) 3)) (* (+ (pow a 4) -81) (* a a))))) (* (* (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1296 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a)))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* 4 (+ a 3)))) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* a a) (+ a 1)) (- (pow a 4) 81)) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b)))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a)))) (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* 4 (+ a 3)))) (* (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* b b) 2) (* a a))) (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (+ (* a a) 9)))) (* (+ (* a a) (+ a 1)) (+ (* a a) -9))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 1297 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a))))) (* (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))))) (* (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))) (* (+ a 3) (* b b))) (* (+ (* a a) (+ a 1)) (- (pow a 4) 81))) (* (- 1 (pow (pow a 3) 3)) (* (- (pow a 4) 81) (* a a))))) (* (- 1 (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))))) (* (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1298 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (pow a 3) 3))) (- (* a a) -9)) (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (+ a 1) (* a a)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (pow a 4) 81))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a)))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ -3 a) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ a 3) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3)))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (pow a 4) 81))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (pow (pow a 3) 3))) (+ 9 (* a a)))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a)))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) 2) (* a a))) (* (* (+ 9 (* a a)) (+ a 3)) (+ (+ (pow a 3) 1) (* (pow a 3) (pow a 3))))) (* (+ -3 a) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ (* 1 1) (+ (* (pow a 3) (pow a 3)) (* 1 (pow a 3))))) (- (* a a) -9)) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1299 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1300 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (- (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1301 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* 2 b)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* 2 b)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1302 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* a (* a -9))))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* a (* a -9))))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1303 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (- (+ (pow a 4) 81) (* a (* -9 a)))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (pow a 3) 27))))) (- 1 (* (pow (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow 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3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1304 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ -27 (pow a 3)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1305 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* 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[misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ 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b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (* (* (* a a) b) (* 2 b)) (- (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (* a a) 9)))) (- 1 (* (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1306 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1307 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))))) (* (- 1 (* (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* a (* (* b b) (* 2 a)))) 3))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* a (* (* b b) (* 2 a))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1308 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (+ (* (pow a 3) (pow a 3)) -729)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (+ (* (pow a 3) (pow a 3)) -729)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (* (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1309 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (* a a) (- (* a a) 9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ a 3) (* (* (+ a 3) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (* a a) (- (* a a) 9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (+ (+ a 3) (* (* (+ a 3) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (* (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) 3))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1310 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (+ a 3))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1)) (+ a 3))) (* (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1311 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (+ (* (pow a 3) (pow a 3)) -729)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (- (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* a a) (* (* 2 b) b))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (+ (* (pow a 3) (pow a 3)) -729)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (- (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* a a) (* (* 2 b) b))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- a 3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1312 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -3 a)))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1313 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (- (+ a 1) (* a a)))) (+ (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* 2 b)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ a -3)))) (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (- (+ a 1) (* a a)))) (+ (+ 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* (* a a) b) (* 2 b)) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* a a) b) (* 2 b)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ a -3)))) (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1314 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (- (+ a 1) (* a a))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* 2 (* a a))))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (- (+ a 1) (* a a))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* b b) (* 2 (* a a))))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- a 3) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1315 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* a (* a -9)))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- a 3) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (- (+ (pow a 4) 81) (* a (* a -9)))))) (* 4 (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* a (* a -9)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- a 3) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1316 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ -3 a) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (+ (pow (+ (+ (pow a 4) 1) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a)))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ (pow a 4) 81) (* a (* -9 a))))) (* (+ -3 a) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1317 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1318 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (- (+ 81 (pow a 4)) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ 81 (pow a 4)) (* a (* a -9))))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (- (+ 81 (pow a 4)) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ 81 (pow a 4)) (* a (* a -9))))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1319 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9)))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (pow a 3) -27)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* 2 b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9)))) (* (+ (pow (+ (+ (pow a 4) (pow b 4)) 1) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (pow a 3) -27)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a))))))) (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (* b (* (* 2 b) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1))) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1320 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1)))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1321 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (- (+ 81 (pow a 4)) (* a (* -9 a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* a (* -9 a))))) (+ (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* 2 b) (* a a))) (- (* b (* (* 2 b) (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1322 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (+ (* (pow a 3) (pow a 3)) -729)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ a 3))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (+ (* (pow a 3) (pow a 3)) -729)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (* (- (* b (* (* 2 b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* b (* (* 2 b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 1323 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) b) (* 2 b))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow a 4) (+ (pow b 4) 1)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* 2 (* a a))))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (- 1 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (- (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* a a) b) (* 2 b))) (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1324 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (+ (pow b 4) (+ 1 (pow a 4))) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a)))) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* b (* (* 2 b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* b (* (* 2 b) (* a a))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)))) (- 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1325 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* 4 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b)))))) (* (+ (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* 4 (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b)))))) (* (+ (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (pow (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1326 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3))))))) (* (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1327 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) 4))) (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1)) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) 4))) (* (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (- 1 (pow (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 3)) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1328 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (+ (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (* (+ a 3) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))))) (* (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- (* a a) 9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1329 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (* (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) 3))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* 2 b) (* a a)))) (* (+ -27 (pow a 3)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1330 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* 4 (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ -27 (pow a 3)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* 4 (* (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ -27 (pow a 3)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1331 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)))) (* (- (+ a 1) (* a a)) (+ a 3))) (+ (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) 1) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3) (pow (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) 3))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- (* a a) 9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1332 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b)))) (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b)))) (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (- (+ a 1) (* a a)) (+ a 3))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a a) b) (* 2 b))) (* (* (+ -9 (* a a)) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1333 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (+ (* (pow a 3) (pow a 3)) -729)) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* 4 (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))))))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (+ (* (pow a 3) (pow a 3)) -729)) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (pow (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1334 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (+ (* a a) (* 3 (+ a 3))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) (pow b 4)) 1))))) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (+ (* a a) (* 3 (+ a 3))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1335 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))))) (+ (+ a 3) (* (* (+ a 3) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (+ (pow b 4) 1)))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))))) (+ (+ a 3) (* (* (+ a 3) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 1)))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))) (- 1 (pow (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1336 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (- (+ (pow a 4) 81) (* (* -9 a) a))))) (* (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))))) (+ a 3)))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (- (+ (pow a 4) 81) (* (* -9 a) a))))) (* (* 4 (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))))) (+ a 3)))) (* (- 1 (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1337 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))))) (+ (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* a (* a -9))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))) (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* 4 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a))))) (+ (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* a (* a -9))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))) (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1338 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* 4 (* (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* 4 (* (+ (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) 1) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (- 1 (* (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) b) (* 2 b)) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* 2 b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1339 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9)))) (* (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (- (+ a 1) (* a a)))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))) (+ 1 (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))))))) (* (- 1 (pow (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* a a) (+ (* a a) -9)))) (* (* 4 (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (- (+ a 1) (* a a)))) (+ (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 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(pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1340 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1) (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* 4 (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)))) (- (+ a 1) (* a a))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (- a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1341 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ 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3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ a -3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 1)))) (* (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) 3)) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* 2 a)) a)) (* (+ a -3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1342 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* 4 (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4))))) (+ (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) 1)) (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (- 1 (* (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 b) (* a a))) (+ (pow a 4) (pow b 4)))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* a (* a -9)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* 2 b) (* a a)))) (* (+ (+ a 1) (* a a)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1343 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (pow a 3) -27)))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1344 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* 4 (* (- (* (+ (pow a 4) (+ (pow b 4) 1)) (+ (pow a 4) (+ (pow b 4) 1))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ a 3) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) -9) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1345 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (- (+ 81 (pow a 4)) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (- (* (+ (+ (pow a 4) (pow b 4)) 1) (+ (+ (pow a 4) (pow b 4)) 1)) (* (* (* (* a a) b) (* 2 b)) (* (* (* a a) b) (* 2 b)))) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (- (+ 81 (pow a 4)) (* a (* a -9))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* a (* a -9)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* (* (* a a) b) (* 2 b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))) (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) b) (* 2 b))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1346 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (- (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (- (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b (* (* 2 b) (* a a))) (* b (* (* 2 b) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9)))) (- (* (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1347 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (+ 1 (pow a 4)) (pow b 4))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1348 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b)))) (* 4 (+ a 3)))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))) (* (* (* a a) (+ (* a a) -9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b)))) (* 4 (+ a 3)))) (* (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* 2 b) b))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 1349 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a))))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (+ (pow b 4) 1))) (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a))))) (* 4 (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (* b b) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (* (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (pow a 4) (+ (pow b 4) 1)) (* a (* (* b b) (* 2 a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (- a 3)))) (- 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow a 4) (pow b 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1350 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (- (+ 81 (pow a 4)) (* (* -9 a) a))))) (* (* (+ (* b (* (* 2 b) (* a a))) (+ (+ (pow a 4) (pow b 4)) 1)) (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a))))) (* 4 (- (+ a 1) (* a a))))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ 81 (pow a 4)) (* (* -9 a) a))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (+ (+ (pow a 4) (pow b 4)) 1) (* b (* (* 2 b) (* a a)))) (* (- a 3) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* b (* (* 2 b) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1351 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (83 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* a a) -9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))))) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* a a) -9))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* a a) -9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))))) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3))))))) (* (- 1 (* (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* a a) -9))) (+ a 3)) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1352 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 1))) (* (* (+ (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* 2 (* (* b b) (* a a))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (+ (pow a 3) -27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1353 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (- (+ a 1) (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (+ (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (- (+ (pow a 4) 81) (* a (* -9 a))) (* (- (+ a 1) (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1354 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ a 3)) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* 2 (* (* b b) (* a a))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (* a a) -9)))) (- 1 (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1355 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (- 1 (pow (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (+ (pow a 3) -27) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (* (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (- 1 (pow (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 3)) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (+ (pow a 3) -27) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1356 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ a 3)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ a 3)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ -27 (pow a 3))))) (- 1 (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1357 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) 1)) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) -9))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1358 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (- (+ a 1) (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (- (+ a 1) (* a a)) (+ a 3)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (- (+ a 1) (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1359 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ a 3)) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* a a) (* 3 (+ a 3))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ a 3)) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1360 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* (* a a) -9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* a a) -9)))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* (* a a) -9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* a a) -9)))) (* (+ (+ a 1) (* a a)) (+ (pow a 3) -27)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1361 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ a 3))) (* (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ a 3))) (* (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (+ (+ a 1) (* a a)) (+ -9 (* a a))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1362 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ a 3))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (+ a 3) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ a 3))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (+ a 1) (* a a)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1363 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4)) (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) 3))) (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1364 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4))) (* (* (+ (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1365 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ 81 (pow a 4)) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (- (+ a 1) (* a a))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 3)) (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ 81 (pow a 4)) (* (* -9 a) a)))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1366 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (+ (* (- (* b (* (* b 2) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)) (* b (* (* b 2) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1367 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* a (* (* b b) (* 2 a))))) (* (* (* (- (+ (pow a 4) 81) (* -9 (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (- a 3) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 3)) (* (+ (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* a (* (* b b) (* 2 a))))) (* (* (* (- (+ (pow a 4) 81) (* -9 (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (- a 3) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1368 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (- (+ a 1) (* a a))) (* (+ (+ a 1) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (- (+ a 1) (* a a))) (* (+ (+ a 1) (* a a)) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1369 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* a a) -9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a)))) (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* a a) -9))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* a a) -9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))))) (* (* (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ -27 (pow a 3))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a)))) (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* a a) -9))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1370 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3))))))) (* (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3))))))) (* (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3)) (+ (* a a) -9)))) (- 1 (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1371 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1372 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a)))) (* (- (* a a) 9) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1373 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729)))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729)))) (* (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (- (pow a 3) 27) (+ (+ a 1) (* a a))))) (- 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1374 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ a 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (* a a) 9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* a a) 2))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (+ a 3)))) (* (* (* (+ (+ a 1) (* a a)) (- (* a a) 9)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* a a) 2))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ a 3))))) * * * * [misc]progress: [ 1375 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) (* 4 (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (- 1 (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -3 a)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1376 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729)))) (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) (* 4 (- (+ a 1) (* a a)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729)))) (* (* (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1377 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* b 2) b))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* b 2) b)))) 4) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))))))) (* (- 1 (pow (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* b 2) b))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* b 2) b))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* b 2) b)))) 4) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3))))) (+ (+ (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))))))) (* (- 1 (pow (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* a a) (* (* b 2) b))) (* (- (pow a 3) 27) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1378 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* 4 (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* 4 (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a)))) (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a))))) (* (* (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) 1))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (- (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (- (pow a 3) 27) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1379 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a))))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (+ (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* 4 (+ (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a))))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3))) (+ (+ 1 (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (- 1 (pow (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) 3)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ -9 (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1380 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* a -9))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))))) (* (* 4 (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))))) (+ (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (* (* (* (* (- (+ (pow a 4) 81) (* a (* a -9))) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1381 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) 4))) (+ (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -27 (pow a 3)))))) (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) 4))) (+ (+ 1 (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))) (* (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ (+ a 1) (* a a)) (* (- (+ a 1) (* a a)) (+ -27 (pow a 3)))))) (- 1 (pow (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1382 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 4)) (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 4)) (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a))))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (- (pow a 3) 27)))) (- 1 (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1383 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (251 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) 4))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ a 3)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) 4))) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) 3))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ a 3)) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* b 2) (* a a)))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1384 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* 4 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* 4 (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2)))) (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2))))) (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) b) (* b 2))) (* (* (+ (* a a) -9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1385 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1)))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* (* (* 4 (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a)))) (+ (* a a) (* 3 (+ a 3)))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1)))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* b b) (* (* 2 a) a))) (* (+ (pow a 3) -27) (+ (+ a 1) (* a a))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1386 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* a a) (* 3 (+ a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* a a) (* 3 (+ a 3)))))) (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) 4)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ a 1) (* a a)) (+ -27 (pow a 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1387 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))))) (* 4 (+ a 3)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1)) (* (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))))) (* 4 (+ a 3)))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (- (+ a 1) (* a a))) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1388 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))))) (+ (+ a 3) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ a 3)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (* 4 (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2)))) (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))))) (+ (+ a 3) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (+ a 3)))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- (+ a 1) (* a a)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (+ (+ a 1) (* a a)) (+ (* a a) -9)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1389 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a))))) 4) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (* (- (+ (pow a 4) 81) (* -9 (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (- (+ a 1) (* a a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* -9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))))) (* (* (* (+ (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a))))) 4) (+ (* (+ a 1) (+ a 1)) (* (- (* a a) (+ a 1)) (* a a)))))) (* (* (* (* (- (+ (pow a 4) 81) (* -9 (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (- (+ a 1) (* a a))) (* (- (+ (+ 1 (pow a 4)) (pow b 4)) (* 2 (* (* b b) (* a a)))) (* (+ -3 a) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1390 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a))))) 4))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (+ (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a))))) 4))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* b (* (* b 2) (* a a)))) (* (+ a -3) (+ (* (pow a 3) (pow a 3)) (pow (+ a 1) 3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1391 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) 4)) (- (+ a 1) (* a a))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (- (+ a 1) (* a a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) 4)) (- (+ a 1) (* a a))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))) (* (+ (pow a 3) 1) (* (+ a 3) (* b b)))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2)))) 3)) (* (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (- (+ a 1) (* a a))) (* (- (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) b) (* b 2))) (* (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))) (- a 3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1392 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4)) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ -3 a) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a))))) (* (- (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) 4)) (* (- (+ a 1) (* a a)) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 1))) (* (* (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (- (+ a 1) (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ -3 a) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1393 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 4)) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ a 1) (* a a)) (+ a -3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b)))) 4)) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ a 3)) (* (- (+ (+ (pow a 4) 1) (pow b 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ a 1) (* a a)) (+ a -3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1394 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3))))))) (* 4 (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3))))))) (* 4 (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1))) (* (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (- a 3) (+ (+ a 1) (* a a))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1395 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))))) (* (* (* (- (+ a 1) (* a a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ (* a a) (* 3 (+ a 3)))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) 4)) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))))) (* (* (* (- (+ a 1) (* a a)) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1396 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3))))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ a 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a))))) (* 4 (* (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1)))) (+ a 3)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3))))))) (* (* (* (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* (* -9 a) a))) (+ a 3)) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* a (* (* b b) (* 2 a)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (* a a) 9)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1397 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2)))) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (- (+ a 1) (* a a)))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) b) (* b 2))))) (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* a a) b) (* b 2))) (* (* (- (pow a 3) 27) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1398 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a))))) (* 4 (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (* (pow a 3) (pow a 3)) -729)) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* b (* (* b 2) (* a a)))) (* (* (- (* a a) 9) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1399 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a)))) (* 4 (+ (* a a) (* 3 (+ a 3)))))) (* (* (* (+ a 3) (* (* (+ (pow a 3) 1) (- (+ a 1) (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* b b) (* (* 2 a) a))) (* (+ (+ a 1) (* a a)) (- (pow a 3) 27)))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1400 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (- (+ a 1) (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (- (+ a 1) (* a a)))) (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (+ (* (pow a 3) (pow a 3)) -729) (* (+ (+ a 1) (* a a)) (- (+ a 1) (* a a)))))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a))) (* 4 (+ a 3)))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (- (+ (pow a 4) 81) (* (* -9 a) a)) (* (- (+ a 1) (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -9) (+ (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ a 3))))) * * * * [misc]progress: [ 1401 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (- (+ (pow a 4) 81) (* a (* -9 a))) (- (+ a 1) (* a a)))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a)))) (+ (* (pow a 3) (pow a 3)) -729))) (* (* (+ (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a))))) (* 4 (+ (* (+ a 1) (+ a 1)) (* (* a a) (- (* a a) (+ a 1))))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) (- (+ a 1) (* a a))) (- (+ (pow a 4) 81) (* a (* -9 a)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* 2 (* (* b b) (* a a)))) (* (+ a -3) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))))) * * * * [misc]progress: [ 1402 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (+ (pow (* a a) 3) (pow -9 3)) (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))))))) (* (- (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) 4)) (- (+ a 1) (* a a))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* a a) (* (* b 2) b))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* a a) (* (* b 2) b)))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* a a) (* (* b 2) b))) (* (* (+ -3 a) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- (+ a 1) (* a a)))) (* (* (+ (* (pow a 3) (pow a 3)) -729) (* b b)) (* (* (- (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* a a) (* (* b 2) b))) (+ (+ (+ (pow b 4) (pow a 4)) 1) (* (* a a) (* (* b 2) b)))) (* 4 (- (+ a 1) (* a a))))) (* (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))) (* (* (- (+ a 1) (* a a)) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (+ (+ (pow b 4) (pow a 4)) 1) (* (* a a) (* (* b 2) b))) (* (* (+ -3 a) (+ (+ a 1) (* a a))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (- (* -9 -9) (* (* a a) -9))) (- (+ a 1) (* a a)))) (- (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1403 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (296 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ -9 (* a a)) (* a a)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (pow a 4) 81) (* b b))) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ -9 (* a a)) (* a a)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (- (pow a 4) 81) (* b b))) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (+ (* (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))) (+ 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* (* a a) b) (* b 2)) (- (* (* (* a a) b) (* b 2)) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ -27 (pow a 3)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (pow (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4)))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1404 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (pow a 4) -81))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (pow a 4) -81))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* (* a a) (* b b)) 2) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))) (- 1 (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1405 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 3))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) 3))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1406 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1)) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1)) (* (* (+ (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (- (* a a) 9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1407 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (80 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (* (+ -81 (pow a 4)) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ -27 (pow a 3)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4)))) 1)) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (* (+ -81 (pow a 4)) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow a 4) (+ 1 (pow b 4))) 3)) 4))) (* (- 1 (* (pow (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* b (* (* b 2) (* a a))) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (pow a 4) (+ 1 (pow b 4))) (+ (pow a 4) (+ 1 (pow b 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ -27 (pow a 3)) (* (+ (* a a) (+ a 1)) (- (+ a 1) (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1408 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (- (* (* (* (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) 1) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (* (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) 1) (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ -27 (pow a 3)) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))) (- 1 (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1409 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ 9 (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4) (* (- (+ a 1) (* a a)) (+ a 3)))) (+ (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) 1) (* (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (- 1 (* (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3) (pow (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) 3))) (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* 2 a) a) (* b b)) (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ 9 (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ -9 (* a a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1410 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) b) (* (* b (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ 9 (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -9 (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (+ (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) b) (* (* b (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (- (+ a 1) (* a a)) (+ a 3)))) (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ 9 (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1))) (+ -9 (* a a))))) (- 1 (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (+ a 1) (* a a)) (+ a 3)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1411 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- (pow a 4) 81))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (- (pow a 4) 81))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (pow b 4) (+ 1 (pow a 4))) 3)) 4) (+ (* a a) (* 3 (+ a 3)))) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))))) (* (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* 2 (* (* b b) (* a a)))) (* (+ (pow b 4) (+ 1 (pow a 4))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* a a) (+ a 1)) (+ -27 (pow a 3))))) (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1412 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ (pow a 3) -27)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ (* (* (+ (* a a) (* 3 (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (+ (* a a) (* 3 (+ a 3)))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (+ (* (- (* 2 (* (* b b) (* a a))) (+ (+ 1 (pow a 4)) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ (pow a 3) -27)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* a a) (+ (* 3 3) (* a 3))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1413 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (- (* a a) 9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ -81 (pow a 4)))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ a 3)) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ 9 (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (- (* a a) 9)) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ 9 (* a a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ -81 (pow a 4)))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ 1 (pow a 4)) (pow b 4)) 3)) 4) (+ a 3)) (+ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 3)) (* (+ (* (- (* (* b b) (* (* 2 a) a)) (+ (+ 1 (pow a 4)) (pow b 4))) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 (pow a 4)) (pow b 4)) (+ (+ 1 (pow a 4)) (pow b 4)))) (* (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (+ 9 (* a a)) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1414 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (- (* a a) 9) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (- (pow a 4) 81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (+ a 3) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ 9 (* a a)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (- (* a a) 9) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ 9 (* a a)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (- (pow a 4) 81) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (+ a 3) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ a 3)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ 9 (* a a)) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ (* a a) (+ a 1)) (- (* a a) 9)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ a 3) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1415 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* a a) 9))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* a a) 9))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ -81 (pow a 4))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (* (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1))) (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1416 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) 9)) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (* (- (pow a 4) 81) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* (* a a) (+ -9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* a a) 9)) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (* (- (pow a 4) 81) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) 4)) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ a -3)))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1417 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) b) (* (* b (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1)) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (+ (* a a) 9) (* (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))) (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ a 3) (* (pow a 3) (+ a 3))) b) (* (* b (+ (pow a 4) -81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4)) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) 1)) (- (+ a 1) (* a a)))) (* (- 1 (* (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3) (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))))) * * * * [misc]progress: [ 1418 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) -9) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (pow a 4) -81) (* b b))) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1)) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ a -3))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (+ (* a a) 9) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (* (+ (* a a) -9) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ (pow a 4) -81) (* b b))) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ 1 (+ (pow b 4) (pow a 4))) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) 1)) (- (+ a 1) (* a a)))) (* (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a))))))) (* (+ (* (+ 1 (+ (pow b 4) (pow a 4))) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* b (* (* b 2) (* a a))) (- (* b (* (* b 2) (* a a))) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (* (- (+ a 1) (* a a)) (+ a -3))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))))) * * * * [misc]progress: [ 1419 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (pow 1 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) 3))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ a -3) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 1)) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4)) (+ (* (* (* (* a a) (+ -9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (* (* (+ -81 (pow a 4)) (* b b)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (+ (pow b 4) (pow a 4)) 1)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3))))) (* (+ a -3) (+ (* a a) (+ a 1))))) (- 1 (pow (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) 3)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* 1 1) (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))))) * * * * [misc]progress: [ 1420 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- a 3)) (- (* 1 1) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 4) 81)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (- (pow a 4) 81)) (* (+ (pow a 3) 1) (* (+ a 3) (* b b))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow b 4) (pow a 4)) 1) 3)) 4) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) 1))) (* (* (+ (* (+ (+ (pow b 4) (pow a 4)) 1) (+ (+ (pow b 4) (pow a 4)) 1)) (* (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow b 4) (pow a 4)) 1)) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3))) (+ (* (* a a) (- (* a a) (+ a 1))) (* (+ a 1) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ a -3)))) (- 1 (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))))))) * * * * [misc]progress: [ 1421 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (* (- (pow a 4) 81) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (+ (* a a) (* 3 (+ a 3))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (* (pow a 3) (+ a 3)) (+ a 3)) (* (- (pow a 4) 81) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (- (* (* (* a a) b) (* b 2)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* a a) b) (* b 2)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (+ (pow a 3) -27)))) (- 1 (* (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))) (+ (* (* (* a a) b) (* b 2)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1422 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (pow (+ a 1) 3) (pow (* a a) 3)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (- (* (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* 4 (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (+ a 3)))) (+ (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (* (pow a 3) (+ a 3)) (+ a 3))))) (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (+ (pow a 4) 1) (pow b 4))) (* a (* (* b b) (* 2 a)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (+ (* a a) -9) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))) (+ a 3)))))) * * * * [misc]progress: [ 1423 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3))))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9)) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* a a) 2))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ (* a a) (* 3 (+ a 3)))))) (+ (* (* (* (* (* a a) (+ (* a a) -9)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (+ (* a a) 9)) (* (* (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3))) (* (+ -81 (pow a 4)) (* b b))) (+ (+ a 3) (* (pow a 3) (+ a 3)))))) (* (* (* (* (+ (pow a 3) -27) (+ (* a a) (+ a 1))) (- (+ a 1) (* a a))) (- 1 (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ (* a a) (+ (* 3 3) (* a 3)))))))) * * * * [misc]progress: [ 1424 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (* (- (+ a 1) (* a a)) (+ a 3))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (- (* (+ a 1) (+ a 1)) (* (* a a) (* a a))) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (pow a 4) -81))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* a a) (+ -9 (* a a))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))) (+ (pow a 4) -81))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (* (- (+ a 1) (* a a)) (+ a 3))))) (* (* (+ (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* b b) (* (* 2 a) a)) (- (* (* b b) (* (* 2 a) a)) (+ (+ (pow a 4) 1) (pow b 4))))) (* (* (* (+ (* a a) 9) (+ (+ a 3) (* (pow a 3) (+ a 3)))) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1)))) (* (+ -9 (* a a)) (* (- (+ a 1) (* a a)) (+ (* a a) (+ a 1)))))) (- 1 (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (- (+ a 1) (* a a)) (+ a 3)))))) * * * * [misc]progress: [ 1425 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ (* a a) (+ (* 3 3) (* a 3)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (pow a 3) (pow 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* b b)) (* (* 2 a) a))) (pow (+ (+ (pow a 4) 1) (pow b 4)) 3)) (* 4 (+ (* a a) (* 3 (+ a 3))))) (+ (* (* (* (* a a) (- (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (+ (* a a) 9) (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))))) (* (* (* (+ (pow a 3) 1) (* (+ a 3) (* b b))) (- (pow a 4) 81)) (+ (pow (+ a 1) 3) (* (pow a 3) (pow a 3)))))) (* (* (+ (* (- (* (* (* 2 a) a) (* b b)) (+ (+ (pow a 4) 1) (pow b 4))) (* (* (* 2 a) a) (* b b))) (* (+ (+ (pow a 4) 1) (pow b 4)) (+ (+ (pow a 4) 1) (pow b 4)))) (* (* (+ (* (- (* a a) (+ a 1)) (* a a)) (* (+ a 1) (+ a 1))) (* (+ (* a a) 9) (+ (* (pow a 3) (+ a 3)) (+ a 3)))) (* (- (pow a 3) 27) (+ (* a a) (+ a 1))))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* a b) b))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (+ (* a a) (+ (* 3 3) (* a 3))))))) * * * * [misc]progress: [ 1426 / 10521 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (* (* a a) (- (* a a) (* 3 3))) (- (* 1 1) (* (pow a 3) (pow a 3)))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (* (- (* (* a a) (* a a)) (* -9 -9)) (+ (pow (+ a 1) 3) (pow (* a a) 3)))))) (* (+ (pow (+ (+ 1 (pow b 4)) (pow a 4)) 3) (pow (* (* (* b b) 2) (* a a)) 3)) 4)) (+ a 3)) (* (* (* (* (+ a 3) (+ 1 (pow a 3))) (* (- (* a a) -9) (+ (* (+ a 1) (+ a 1)) (- (* (* a a) (* a a)) (* (+ a 1) (* a a)))))) (+ (* (+ (+ 1 (pow b 4)) (pow a 4)) (+ (+ 1 (pow b 4)) (pow a 4))) (- (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))) (* (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) 2) (* a a)))))) (* (* (+ (+ a 1) (* a a)) (- (* a a) (* 3 3))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (244 enodes)